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40402804288 = 2671127672963
BaseRepresentation
bin100101101000001100…
…011101111001000000
310212021202000010002211
4211220030131321000
51130221104214123
630321044151504
72630135112220
oct455014357100
9125252003084
1040402804288
1116153369950
1279b6998594
133a6b6663b2
141d53ca2080
1510b705140d
hex96831de40

40402804288 has 112 divisors (see below), whose sum is σ = 100027459584. Its totient is φ = 15730352640.

The previous prime is 40402804241. The next prime is 40402804297. The reversal of 40402804288 is 88240820404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 40402804288.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13634295 + ... + 13637257.

Almost surely, 240402804288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40402804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50013729792).

40402804288 is an abundant number, since it is smaller than the sum of its proper divisors (59624655296).

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

40402804288 is a wasteful number, since it uses less digits than its factorization.

40402804288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 40402804288 in words is "forty billion, four hundred two million, eight hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 2767 2963 4928 5534 5926 11068 11852 19369 20741 22136 23704 30437 32593 38738 41482 44272 47408 60874 65186 77476 82964 88544 94816 121748 130372 154952 165928 177088 189632 213059 228151 243496 260744 309904 331856 426118 456302 486992 521488 619808 663712 852236 912604 973984 1042976 1239616 1327424 1704472 1825208 1947968 2085952 3408944 3650416 6817888 7300832 8198621 13635776 14601664 16397242 32794484 57390347 65588968 90184831 114780694 131177936 180369662 229561388 262355872 360739324 459122776 524711744 631293817 721478648 918245552 1262587634 1442957296 1836491104 2525175268 2885914592 3672982208 5050350536 5771829184 10100701072 20201402144 40402804288