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10042231422042 = 2325923375753611
BaseRepresentation
bin1001001000100010001110…
…1000101111110001011010
31022120000202101002202220200
42102020203220233301122
52304012442221001132
633205200515003030
72054345566454601
oct222104350576132
938500671082820
1010042231422042
113221982923506
121162302b99476
1357ac945c1751
1426a091bd6a38
1512634c7a1d7c
hex92223a2fc5a

10042231422042 has 96 divisors (see below), whose sum is σ = 22251686333760. Its totient is φ = 3272162261760.

The previous prime is 10042231422019. The next prime is 10042231422071. The reversal of 10042231422042 is 24022413224001.

It is a happy number.

10042231422042 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 231 + 422 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10042231421997 and 10042231422015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187289817 + ... + 187343427.

It is an arithmetic number, because the mean of its divisors is an integer number (231788399310).

Almost surely, 210042231422042 is an apocalyptic number.

10042231422042 is an abundant number, since it is smaller than the sum of its proper divisors (12209454911718).

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

10042231422042 is a wasteful number, since it uses less digits than its factorization.

10042231422042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54668 (or 54665 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10042231422042 its reverse (24022413224001), we get a palindrome (34064644646043).

The spelling of 10042231422042 in words is "ten trillion, forty-two billion, two hundred thirty-one million, four hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 59 118 177 233 354 466 531 699 757 1062 1398 1514 2097 2271 4194 4542 6813 13626 13747 27494 41241 44663 53611 82482 89326 107222 123723 133989 160833 176381 247446 267978 321666 352762 401967 482499 529143 803934 964998 1058286 1587429 3163049 3174858 6326098 9489147 10406479 12491363 18978294 20812958 24982726 28467441 31219437 37474089 40583527 56934882 62438874 74948178 81167054 93658311 112422267 121750581 187316622 224844534 243501162 365251743 730503486 736990417 1473980834 2210971251 2394428093 4421942502 4788856186 6632913753 7183284279 9455961791 13265827506 14366568558 18911923582 21549852837 28367885373 43099705674 56735770746 85103656119 170207312238 557901745669 1115803491338 1673705237007 3347410474014 5021115711021 10042231422042