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342360440652132 = 223274133135931151
BaseRepresentation
bin100110111011000000000000…
…0011100110100000101100100
31122220012100010202101201201100
41031312000000130310011210
5324333213140301332012
63212050114251400100
7132053503606166160
oct11566000034640544
91586170122351640
10342360440652132
119a0a527a480151
12324938b6a53030
13119055b2b95616
146078495addca0
15298a8a9ead8dc
hex1376000734164

342360440652132 has 72 divisors (see below), whose sum is σ = 1013164230903552. Its totient is φ = 95431481712000.

The previous prime is 342360440652079. The next prime is 342360440652187. The reversal of 342360440652132 is 231256044063243.

342360440652132 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 60 + 4 + 406 + 52 + 132 = 666.

It is a super-2 number, since 2×3423604406521322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16567955244 + ... + 16567975907.

It is an arithmetic number, because the mean of its divisors is an integer number (14071725429216).

Almost surely, 2342360440652132 is an apocalyptic number.

It is an amenable number.

342360440652132 is an abundant number, since it is smaller than the sum of its proper divisors (670803790251420).

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

342360440652132 is a wasteful number, since it uses less digits than its factorization.

342360440652132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33135931209 (or 33135931204 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 342360440652132 in words is "three hundred forty-two trillion, three hundred sixty billion, four hundred forty million, six hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 33135931151 66271862302 99407793453 132543724604 198815586906 231951518057 298223380359 397631173812 463903036114 596446760718 695854554171 927806072228 1192893521436 1358573177191 1391709108342 2087563662513 2717146354382 2783418216684 4075719531573 4175127325026 5434292708764 8151439063146 8350254650052 9510012240337 12227158594719 16302878126292 19020024480674 24454317189438 28530036721011 38040048961348 48908634378876 57060073442022 85590110163033 114120146884044 171180220326066 342360440652132