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242400244416 = 26311114772843
BaseRepresentation
bin1110000111000000101…
…1100011001011000000
3212011200021211021100020
43201300023203023000
512432413430310131
6303205050253440
723340622036641
oct3416013431300
9764607737306
10242400244416
119388a689410
123ab8b427280
1319b207446b5
14ba373736c8
15648aa2e996
hex38702e32c0

242400244416 has 56 divisors (see below), whose sum is σ = 699655257024. Its totient is φ = 73454618880.

The previous prime is 242400244399. The next prime is 242400244433. The reversal of 242400244416 is 614442004242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242400244399) and next prime (242400244433).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57384310 + ... + 57388533.

Almost surely, 2242400244416 is an apocalyptic number.

It is an amenable number.

242400244416 is an abundant number, since it is smaller than the sum of its proper divisors (457255012608).

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

242400244416 is a wasteful number, since it uses less digits than its factorization.

242400244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114772869 (or 114772859 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 242400244416 its reverse (614442004242), we get a palindrome (856842248658).

The spelling of 242400244416 in words is "two hundred forty-two billion, four hundred million, two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 114772843 229545686 344318529 459091372 688637058 918182744 1262501273 1377274116 1836365488 2525002546 2754548232 3672730976 3787503819 5050005092 5509096464 7345461952 7575007638 10100010184 11018192928 15150015276 20200020368 22036385856 30300030552 40400040736 60600061104 80800081472 121200122208 242400244416