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1397737430400 = 27352145597649
BaseRepresentation
bin10100010101101111101…
…001001001110110000000
311221121210201120100110210
4110111233221021312000
5140400031240233100
62550040043554120
7202661144062143
oct24255751116600
94847721510423
101397737430400
11499860382263
121a6a8352b940
13a1a62c38aac
144b917d2205a
15265596d3c50
hex1456fa49d80

1397737430400 has 96 divisors (see below), whose sum is σ = 4603797693000. Its totient is φ = 372729978880.

The previous prime is 1397737430393. The next prime is 1397737430429. The reversal of 1397737430400 is 40347377931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1397737430400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72789225 + ... + 72808424.

Almost surely, 21397737430400 is an apocalyptic number.

1397737430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1397737430400 is an abundant number, since it is smaller than the sum of its proper divisors (3206060262600).

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

1397737430400 is a wasteful number, since it uses less digits than its factorization.

1397737430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145597676 (or 145597659 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 1397737430400 in words is "one trillion, three hundred ninety-seven billion, seven hundred thirty-seven million, four hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 145597649 291195298 436792947 582390596 727988245 873585894 1164781192 1455976490 1747171788 2183964735 2329562384 2911952980 3494343576 3639941225 4367929470 4659124768 5823905960 6988687152 7279882450 8735858940 9318249536 10919823675 11647811920 13977374304 14559764900 17471717880 18636499072 21839647350 23295623840 27954748608 29119529800 34943435760 43679294700 46591247680 55909497216 58239059600 69886871520 87358589400 93182495360 116478119200 139773743040 174717178800 232956238400 279547486080 349434357600 465912476800 698868715200 1397737430400