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40402122432 = 263731969713
BaseRepresentation
bin100101101000001001…
…110111011011000000
310212021200201110202220
4211220021313123000
51130220420404212
630321021411040
72630126242260
oct455011673300
9125250643686
1040402122432
1116152a43631
1279b6709a80
133a6b487c29
141d53b657a0
1510b6e6938c
hex9682776c0

40402122432 has 112 divisors (see below), whose sum is σ = 126109366272. Its totient is φ = 11171082240.

The previous prime is 40402122427. The next prime is 40402122487. The reversal of 40402122432 is 23422120404.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 443193 + ... + 526520.

Almost surely, 240402122432 is an apocalyptic number.

40402122432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40402122432 is an abundant number, since it is smaller than the sum of its proper divisors (85707243840).

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

40402122432 is a wasteful number, since it uses less digits than its factorization.

40402122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969766 (or 969756 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40402122432 its reverse (23422120404), we get a palindrome (63824242836).

The spelling of 40402122432 in words is "forty billion, four hundred two million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 969713 1939426 2909139 3878852 5818278 6787991 7757704 11636556 13575982 15515408 20363973 23273112 27151964 30061103 31030816 40727946 46546224 54303928 60122206 62061632 81455892 90183309 93092448 108607856 120244412 162911784 180366618 186184896 210427721 217215712 240488824 325823568 360733236 420855442 434431424 480977648 631283163 651647136 721466472 841710884 961955296 1262566326 1303294272 1442932944 1683421768 1923910592 2525132652 2885865888 3366843536 5050265304 5771731776 6733687072 10100530608 13467374144 20201061216 40402122432