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155111430400 = 285247515663
BaseRepresentation
bin1001000001110101011…
…1001001100100000000
3112211100222112002012121
42100131113021210000
510020132011233100
6155131320134024
714130543255463
oct2203527114400
9484328462177
10155111430400
115a8673a44a3
122608a607314
131181c5244a4
14771657b2da
15407c6e751a
hex241d5c9900

155111430400 has 108 divisors (see below), whose sum is σ = 392094404352. Its totient is φ = 60724357120.

The previous prime is 155111430373. The next prime is 155111430401. The reversal of 155111430400 is 4034111551.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (155111430401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42969 + ... + 558631.

It is an arithmetic number, because the mean of its divisors is an integer number (3630503744).

Almost surely, 2155111430400 is an apocalyptic number.

155111430400 is a gapful number since it is divisible by the number (10) 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 155111430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196047202176).

155111430400 is an abundant number, since it is smaller than the sum of its proper divisors (236982973952).

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

155111430400 is an equidigital number, since it uses as much as digits as its factorization.

155111430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515736 (or 515717 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 155111430400 its reverse (4034111551), we get a palindrome (159145541951).

The spelling of 155111430400 in words is "one hundred fifty-five billion, one hundred eleven million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 128 160 188 200 235 256 320 376 400 470 640 752 800 940 1175 1280 1504 1600 1880 2350 3008 3200 3760 4700 6016 6400 7520 9400 12032 15040 18800 30080 37600 60160 75200 150400 300800 515663 1031326 2062652 2578315 4125304 5156630 8250608 10313260 12891575 16501216 20626520 24236161 25783150 33002432 41253040 48472322 51566300 66004864 82506080 96944644 103132600 121180805 132009728 165012160 193889288 206265200 242361610 330024320 387778576 412530400 484723220 605904025 660048640 775557152 825060800 969446440 1211808050 1551114304 1650121600 1938892880 2423616100 3102228608 3300243200 3877785760 4847232200 6204457216 7755571520 9694464400 15511143040 19388928800 31022286080 38777857600 77555715200 155111430400