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241002054234 = 2323113717318223
BaseRepresentation
bin1110000001110011010…
…1111000001001011010
3212001001211212211222200
43200130311320021122
512422033011213414
6302414222231030
723261153442504
oct3403465701132
9761054784880
10241002054234
1193232416437
123a85b125476
1319959b7a926
14b9437b2d74
156407de6109
hex381cd7825a

241002054234 has 96 divisors (see below), whose sum is σ = 546118170624. Its totient is φ = 76724824320.

The previous prime is 241002054233. The next prime is 241002054277. The reversal of 241002054234 is 432450200142.

241002054234 is a `hidden beast` number, since 2 + 410 + 0 + 205 + 42 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241002054198 and 241002054207.

It is not an unprimeable number, because it can be changed into a prime (241002054233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13216047 + ... + 13234269.

It is an arithmetic number, because the mean of its divisors is an integer number (5688730944).

Almost surely, 2241002054234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241002054234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273059085312).

241002054234 is an abundant number, since it is smaller than the sum of its proper divisors (305116116390).

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

241002054234 is a wasteful number, since it uses less digits than its factorization.

241002054234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18572 (or 18569 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 241002054234 its reverse (432450200142), we get a palindrome (673452254376).

The spelling of 241002054234 in words is "two hundred forty-one billion, two million, fifty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 137 173 186 274 279 346 411 519 558 822 1038 1233 1557 2466 3114 4247 5363 8494 10726 12741 16089 18223 23701 25482 32178 36446 38223 47402 48267 54669 71103 76446 96534 109338 142206 164007 213309 328014 426618 564913 734731 1129826 1469462 1694739 2204193 2496551 3152579 3389478 4408386 4993102 5084217 6305158 6612579 7489653 9457737 10168434 13225158 14979306 18915474 22468959 28373211 44937918 56746422 77393081 97729949 154786162 195459898 232179243 293189847 431903323 464358486 586379694 696537729 863806646 879569541 1295709969 1393075458 1759139082 2591419938 3887129907 7774259814 13389003013 26778006026 40167009039 80334018078 120501027117 241002054234