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31339994880 = 283516748871
BaseRepresentation
bin11101001100000000…
…100101111100000000
32222220010201200210010
4131030000211330000
51003141014314010
622221500504520
72156430363315
oct351400457400
988803650703
1031339994880
1112322679017
1260a784b140
132c55b9448c
1417343bad0c
15c365b9620
hex74c025f00

31339994880 has 144 divisors (see below), whose sum is σ = 100693522944. Its totient is φ = 8307118080.

The previous prime is 31339994867. The next prime is 31339994947. The reversal of 31339994880 is 8849993313.

It is a self number, because there is not a number n which added to its sum of digits gives 31339994880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616845 + ... + 665715.

It is an arithmetic number, because the mean of its divisors is an integer number (699260576).

Almost surely, 231339994880 is an apocalyptic number.

31339994880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31339994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50346761472).

31339994880 is an abundant number, since it is smaller than the sum of its proper divisors (69353528064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31339994880 is a wasteful number, since it uses less digits than its factorization.

31339994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49062 (or 49048 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 31339994880 in words is "thirty-one billion, three hundred thirty-nine million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 167 192 240 256 320 334 384 480 501 640 668 768 835 960 1002 1280 1336 1670 1920 2004 2505 2672 3340 3840 4008 5010 5344 6680 8016 10020 10688 13360 16032 20040 21376 26720 32064 40080 42752 48871 53440 64128 80160 97742 106880 128256 146613 160320 195484 213760 244355 293226 320640 390968 488710 586452 641280 733065 781936 977420 1172904 1466130 1563872 1954840 2345808 2932260 3127744 3909680 4691616 5864520 6255488 7819360 8161457 9383232 11729040 12510976 15638720 16322914 18766464 23458080 24484371 31277440 32645828 37532928 40807285 46916160 48968742 62554880 65291656 81614570 93832320 97937484 122421855 130583312 163229140 187664640 195874968 244843710 261166624 326458280 391749936 489687420 522333248 652916560 783499872 979374840 1044666496 1305833120 1566999744 1958749680 2089332992 2611666240 3133999488 3917499360 5223332480 6267998976 7834998720 10446664960 15669997440 31339994880