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40522324224 = 283371738243
BaseRepresentation
bin100101101111010100…
…011001100100000000
310212121001220100122010
4211233110121210000
51130442203333344
630340554012520
72633116033644
oct455724314400
9125531810563
1040522324224
1116204882a58
127a2aa17140
133a8a352955
141d65ad4c24
1510c27ae8b9
hex96f519900

40522324224 has 144 divisors (see below), whose sum is σ = 111417066432. Its totient is φ = 13064822784.

The previous prime is 40522324223. The next prime is 40522324237. The reversal of 40522324224 is 42242322504.

It is a junction number, because it is equal to n+sod(n) for n = 40522324191 and 40522324200.

It is not an unprimeable number, because it can be changed into a prime (40522324223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4911847 + ... + 4920089.

It is an arithmetic number, because the mean of its divisors is an integer number (773729628).

Almost surely, 240522324224 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 40522324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55708533216).

40522324224 is an abundant number, since it is smaller than the sum of its proper divisors (70894742208).

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

40522324224 is a wasteful number, since it uses less digits than its factorization.

40522324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 40522324224 its reverse (42242322504), we get a palindrome (82764646728).

The spelling of 40522324224 in words is "forty billion, five hundred twenty-two million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 173 192 222 256 296 346 384 444 519 592 692 768 888 1038 1184 1384 1776 2076 2368 2768 3552 4152 4736 5536 6401 7104 8243 8304 9472 11072 12802 14208 16486 16608 19203 22144 24729 25604 28416 32972 33216 38406 44288 49458 51208 65944 66432 76812 98916 102416 131888 132864 153624 197832 204832 263776 304991 307248 395664 409664 527552 609982 614496 791328 819328 914973 1055104 1219964 1228992 1426039 1582656 1638656 1829946 2110208 2439928 2457984 2852078 3165312 3659892 4278117 4879856 4915968 5704156 6330624 7319784 8556234 9759712 11408312 14639568 17112468 19519424 22816624 29279136 34224936 39038848 45633248 52763443 58558272 68449872 78077696 91266496 105526886 117116544 136899744 158290329 182532992 211053772 234233088 273799488 316580658 365065984 422107544 547598976 633161316 844215088 1095197952 1266322632 1688430176 2532645264 3376860352 5065290528 6753720704 10130581056 13507441408 20261162112 40522324224