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401342731416 = 23341156305097
BaseRepresentation
bin1011101011100011110…
…01000001010010011000
31102100221021011012020000
411311301321001102120
523033422214401131
6504212503333000
740665434633604
oct5656171012230
91370837135200
10401342731416
11145232566390
1265948a51160
132bb00888183
14155d4648504
15a68e729ce6
hex5d71e41498

401342731416 has 80 divisors (see below), whose sum is σ = 1226325034440. Its totient is φ = 121619007360.

The previous prime is 401342731411. The next prime is 401342731429. The reversal of 401342731416 is 614137243104.

401342731416 is a `hidden beast` number, since 40 + 134 + 2 + 73 + 1 + 416 = 666.

It is a super-2 number, since 2×4013427314162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401342731411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28145421 + ... + 28159676.

Almost surely, 2401342731416 is an apocalyptic number.

It is an amenable number.

401342731416 is an abundant number, since it is smaller than the sum of its proper divisors (824982303024).

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

401342731416 is a wasteful number, since it uses less digits than its factorization.

401342731416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56305126 (or 56305113 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 401342731416 in words is "four hundred one billion, three hundred forty-two million, seven hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 56305097 112610194 168915291 225220388 337830582 450440776 506745873 619356067 675661164 1013491746 1238712134 1351322328 1520237619 1858068201 2026983492 2477424268 3040475238 3716136402 4053966984 4560712857 4954848536 5574204603 6080950476 7432272804 9121425714 11148409206 12161900952 14864545608 16722613809 18242851428 22296818412 33445227618 36485702856 44593636824 50167841427 66890455236 100335682854 133780910472 200671365708 401342731416