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40428421140 = 223517109736131
BaseRepresentation
bin100101101001101110…
…001100000000010100
310212100112012120211010
4211221232030000110
51130244133434030
630323401212220
72630565624012
oct455156140024
9125315176733
1040428421140
11161668761a8
127a03491070
133a73a652b3
141d5744d8b2
1510b94116b0
hex969b8c014

40428421140 has 96 divisors (see below), whose sum is σ = 119970958464. Its totient is φ = 10137210880.

The previous prime is 40428421139. The next prime is 40428421171. The reversal of 40428421140 is 4112482404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40428421098 and 40428421107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100875 + ... + 1137005.

It is an arithmetic number, because the mean of its divisors is an integer number (1249697484).

Almost surely, 240428421140 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 40428421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59985479232).

40428421140 is an abundant number, since it is smaller than the sum of its proper divisors (79542537324).

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

40428421140 is a wasteful number, since it uses less digits than its factorization.

40428421140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37257 (or 37255 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 40428421140 in words is "forty billion, four hundred twenty-eight million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1097 2194 3291 4388 5485 6582 10970 13164 16455 18649 21940 32910 36131 37298 55947 65820 72262 74596 93245 108393 111894 144524 180655 186490 216786 223788 279735 361310 372980 433572 541965 559470 614227 722620 1083930 1118940 1228454 1842681 2167860 2456908 3071135 3685362 6142270 7370724 9213405 12284540 18426810 36853620 39635707 79271414 118907121 158542828 198178535 237814242 396357070 475628484 594535605 673807019 792714140 1189071210 1347614038 2021421057 2378142420 2695228076 3369035095 4042842114 6738070190 8085684228 10107105285 13476140380 20214210570 40428421140