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120341400224 = 2529974792791
BaseRepresentation
bin111000000010011101…
…0000000101010100000
3102111121210120112120012
41300010322000222200
53432424344301344
6131141205504052
711460113011223
oct1600472005240
9374553515505
10120341400224
1147044646171
121b3a6112028
13b46ab4c136
145b788155ba
1531e4e4129e
hex1c04e80aa0

120341400224 has 96 divisors (see below), whose sum is σ = 248224435200. Its totient is φ = 57356328960.

The previous prime is 120341400209. The next prime is 120341400247. The reversal of 120341400224 is 422004143021.

It is a self number, because there is not a number n which added to its sum of digits gives 120341400224.

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, 43116269 + ... + 43119059.

It is an arithmetic number, because the mean of its divisors is an integer number (2585671200).

Almost surely, 2120341400224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120341400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124112217600).

120341400224 is an abundant number, since it is smaller than the sum of its proper divisors (127883034976).

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

120341400224 is a wasteful number, since it uses less digits than its factorization.

120341400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 120341400224 its reverse (422004143021), we get a palindrome (542345543245).

The spelling of 120341400224 in words is "one hundred twenty billion, three hundred forty-one million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 97 116 194 232 388 464 479 776 928 958 1552 1916 2791 2813 3104 3832 5582 5626 7664 11164 11252 13891 15328 22328 22504 27782 44656 45008 46463 55564 80939 89312 90016 92926 111128 161878 185852 222256 270727 323756 371704 444512 541454 647512 743408 1082908 1295024 1336889 1347427 1486816 2165816 2590048 2673778 2694854 4331632 5347556 5389708 7851083 8663264 10695112 10779416 15702166 21390224 21558832 31404332 38769781 42780448 43117664 62808664 77539562 125617328 129678233 155079124 251234656 259356466 310158248 518712932 620316496 1037425864 1240632992 2074851728 3760668757 4149703456 7521337514 15042675028 30085350056 60170700112 120341400224