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120403422432 = 2533142397931
BaseRepresentation
bin111000000100010011…
…0100110110011100000
3102111210010021121001000
41300020212212303200
53433041234004212
6131151303112000
711461465130046
oct1601046466340
9374703247030
10120403422432
1147076658397
121b402a42600
13b47a956677
145b82b5c396
1531ea5e31dc
hex1c089a6ce0

120403422432 has 96 divisors (see below), whose sum is σ = 351427023360. Its totient is φ = 40105860480.

The previous prime is 120403422397. The next prime is 120403422463. The reversal of 120403422432 is 234224304021.

120403422432 is a `hidden beast` number, since 1 + 2 + 0 + 403 + 4 + 224 + 32 = 666.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 120403422396 and 120403422405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180507 + ... + 1278437.

It is an arithmetic number, because the mean of its divisors is an integer number (3660698160).

Almost surely, 2120403422432 is an apocalyptic number.

120403422432 is a gapful number since it is divisible by the number (12) 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 120403422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175713511680).

120403422432 is an abundant number, since it is smaller than the sum of its proper divisors (231023600928).

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

120403422432 is a wasteful number, since it uses less digits than its factorization.

120403422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99373 (or 99359 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 120403422432 its reverse (234224304021), we get a palindrome (354627726453).

The spelling of 120403422432 in words is "one hundred twenty billion, four hundred three million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1423 2846 4269 5692 8538 11384 12807 17076 22768 25614 34152 38421 45536 51228 68304 76842 97931 102456 136608 153684 195862 204912 293793 307368 391724 409824 587586 614736 783448 881379 1175172 1229472 1566896 1762758 2350344 2644137 3133792 3525516 4700688 5288274 7051032 9401376 10576548 14102064 21153096 28204128 42306192 84612384 139355813 278711626 418067439 557423252 836134878 1114846504 1254202317 1672269756 2229693008 2508404634 3344539512 3762606951 4459386016 5016809268 6689079024 7525213902 10033618536 13378158048 15050427804 20067237072 30100855608 40134474144 60201711216 120403422432