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132304355404242 = 237171303142210451
BaseRepresentation
bin11110000101010010000010…
…000110110010100111010010
3122100110011200000020121220020
4132011102002012302213102
5114320133304440413432
61145215440511324310
736603450156361560
oct3605220206624722
9570404600217806
10132304355404242
1139179a64504a4a
1212a09578b20696
1358a932a095818
1424957ca3baa30
1510468172b022c
hex7854821b29d2

132304355404242 has 64 divisors (see below), whose sum is σ = 320444518017024. Its totient is φ = 35550337132800.

The previous prime is 132304355404223. The next prime is 132304355404261. The reversal of 132304355404242 is 242404553403231.

It is an interprime number because it is at equal distance from previous prime (132304355404223) and next prime (132304355404261).

It is a super-2 number, since 2×1323043554042422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 132304355404194 and 132304355404203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70174884 + ... + 72035567.

It is an arithmetic number, because the mean of its divisors is an integer number (5006945594016).

Almost surely, 2132304355404242 is an apocalyptic number.

132304355404242 is an abundant number, since it is smaller than the sum of its proper divisors (188140162612782).

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

132304355404242 is a wasteful number, since it uses less digits than its factorization.

132304355404242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142211783.

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 132304355404242 in words is "one hundred thirty-two trillion, three hundred four billion, three hundred fifty-five million, four hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1303 2606 3909 7818 9121 18242 22151 27363 44302 54726 66453 132906 155057 310114 465171 930342 142210451 284420902 426631353 853262706 995473157 1990946314 2417577667 2986419471 4835155334 5972838942 7252733001 14505466002 16923043669 33846087338 50769131007 101538262014 185300217653 370600435306 555900652959 1111801305918 1297101523571 2594203047142 3150103700101 3891304570713 6300207400202 7782609141426 9450311100303 18900622200606 22050725900707 44101451801414 66152177702121 132304355404242