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554414311000 = 235311173291337
BaseRepresentation
bin10000001000101011010…
…10110000011001011000
31222000001002100010011101
420010111222300121120
533040420030423000
61102405554441144
755024621613434
oct10042552603130
91860032303141
10554414311000
111a4142474760
128b5482931b4
13403865c1634
141cb95d159c4
15e64ccdbe6a
hex8115ab0658

554414311000 has 128 divisors (see below), whose sum is σ = 1423454160960. Its totient is φ = 200439168000.

The previous prime is 554414310973. The next prime is 554414311019. The reversal of 554414311000 is 113414455.

It is a self number, because there is not a number n which added to its sum of digits gives 554414311000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1757332 + ... + 2048668.

Almost surely, 2554414311000 is an apocalyptic number.

554414311000 is a gapful number since it is divisible by the number (50) 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 554414311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711727080480).

554414311000 is an abundant number, since it is smaller than the sum of its proper divisors (869039849960).

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

554414311000 is a wasteful number, since it uses less digits than its factorization.

554414311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291542 (or 291528 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 554414311000 its reverse (113414455), we get a palindrome (554527725455).

The spelling of 554414311000 in words is "five hundred fifty-four billion, four hundred fourteen million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 173 200 220 250 275 346 440 500 550 692 865 1000 1100 1375 1384 1730 1903 2200 2750 3460 3806 4325 5500 6920 7612 8650 9515 11000 15224 17300 19030 21625 34600 38060 43250 47575 76120 86500 95150 173000 190300 237875 291337 380600 475750 582674 951500 1165348 1456685 1903000 2330696 2913370 3204707 5826740 6409414 7283425 11653480 12818828 14566850 16023535 25637656 29133700 32047070 36417125 50401301 58267400 64094140 72834250 80117675 100802602 128188280 145668500 160235350 201605204 252006505 291337000 320470700 400588375 403210408 504013010 554414311 640941400 801176750 1008026020 1108828622 1260032525 1602353500 2016052040 2217657244 2520065050 2772071555 3204707000 4435314488 5040130100 5544143110 6300162625 10080260200 11088286220 12600325250 13860357775 22176572440 25200650500 27720715550 50401301000 55441431100 69301788875 110882862200 138603577750 277207155500 554414311000