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406160260242 = 231161118784991
BaseRepresentation
bin1011110100100010000…
…10011011110010010010
31102211101000012000101120
411322101002123302102
523123304011311432
6510330515543110
741226013151262
oct5722102336222
91384330160346
10406160260242
11147284973070
12668722baa96
132c3ba989149
14159303ab7a2
15a87263ac2c
hex5e9109bc92

406160260242 has 64 divisors (see below), whose sum is σ = 901464588288. Its totient is φ = 120957768000.

The previous prime is 406160260223. The next prime is 406160260271. The reversal of 406160260242 is 242062061604.

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 31 ways as a sum of consecutive naturals, for example, 4736367 + ... + 4821357.

It is an arithmetic number, because the mean of its divisors is an integer number (14085384192).

Almost surely, 2406160260242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406160260242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450732294144).

406160260242 is an abundant number, since it is smaller than the sum of its proper divisors (495304328046).

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

406160260242 is a wasteful number, since it uses less digits than its factorization.

406160260242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86255.

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 406160260242 in words is "four hundred six billion, one hundred sixty million, two hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1187 1342 2013 2374 3561 4026 7122 13057 26114 39171 72407 78342 84991 144814 169982 217221 254973 434442 509946 796477 934901 1592954 1869802 2389431 2804703 4778862 5184451 5609406 10368902 15553353 31106706 57028961 100884317 114057922 171086883 201768634 302652951 342173766 605305902 1109727487 2219454974 3329182461 6153943337 6658364922 12307886674 18461830011 36923660022 67693376707 135386753414 203080130121 406160260242