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155410230400 = 2752353913723
BaseRepresentation
bin1001000010111100101…
…0111110110010000000
3112212010210202200202021
42100233022332302000
510021240004333100
6155221112331224
714141132106505
oct2205712766200
9485123680667
10155410230400
115aa00029347
12261526a3b14
13118693c2019
14774411b4ac
154098a6aa1a
hex242f2bec80

155410230400 has 96 divisors (see below), whose sum is σ = 384048298800. Its totient is φ = 62141998080.

The previous prime is 155410230379. The next prime is 155410230407. The reversal of 155410230400 is 4032014551.

It is a happy number.

It is a super-4 number, since 4×1554102304004 (a number of 46 digits) contains 4444 as substring.

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 (155410230407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11317939 + ... + 11331661.

Almost surely, 2155410230400 is an apocalyptic number.

155410230400 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 155410230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024149400).

155410230400 is an abundant number, since it is smaller than the sum of its proper divisors (228638068400).

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

155410230400 is a wasteful number, since it uses less digits than its factorization.

155410230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17286 (or 17269 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 155410230400 its reverse (4032014551), we get a palindrome (159442244951).

The spelling of 155410230400 in words is "one hundred fifty-five billion, four hundred ten million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3539 7078 13723 14156 17695 27446 28312 35390 54892 56624 68615 70780 88475 109784 113248 137230 141560 176950 219568 226496 274460 283120 343075 353900 439136 452992 548920 566240 686150 707800 878272 1097840 1132480 1372300 1415600 1756544 2195680 2264960 2744600 2831200 4391360 5489200 5662400 8782720 10978400 11324800 21956800 43913600 48565697 97131394 194262788 242828485 388525576 485656970 777051152 971313940 1214142425 1554102304 1942627880 2428284850 3108204608 3885255760 4856569700 6216409216 7770511520 9713139400 15541023040 19426278800 31082046080 38852557600 77705115200 155410230400