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40401131456 = 267293109693
BaseRepresentation
bin100101101000000110…
…000101011111000000
310212021121212010102002
4211220012011133000
51130220142201311
630320544243132
72630114644160
oct455006053700
9125247763362
1040401131456
1116152427044
1279b63104a8
133a6b1cbb5a
141d539885a0
1510b6d2093b
hex9681857c0

40401131456 has 56 divisors (see below), whose sum is σ = 94783473120. Its totient is φ = 16717704192.

The previous prime is 40401131453. The next prime is 40401131467. The reversal of 40401131456 is 65413110404.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40401131453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1541855 + ... + 1567838.

It is an arithmetic number, because the mean of its divisors is an integer number (1692562020).

Almost surely, 240401131456 is an apocalyptic number.

It is an amenable number.

40401131456 is an abundant number, since it is smaller than the sum of its proper divisors (54382341664).

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

40401131456 is a wasteful number, since it uses less digits than its factorization.

40401131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109741 (or 3109731 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 40401131456 in words is "forty billion, four hundred one million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 3109693 6219386 12438772 21767851 24877544 43535702 49755088 87071404 90181097 99510176 174142808 180362194 199020352 348285616 360724388 631267679 696571232 721448776 1262535358 1393142464 1442897552 2525070716 2885795104 5050141432 5771590208 10100282864 20200565728 40401131456