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40233214104 = 23347109337971
BaseRepresentation
bin100101011110000101…
…100010000010011000
310211211220220001002220
4211132011202002120
51124344200322404
630252145224040
72623005451206
oct453605420230
9124756801086
1040233214104
1116076667276
12796a032020
133a42498785
141d39558076
1510a72024d9
hex95e162098

40233214104 has 128 divisors (see below), whose sum is σ = 104080204800. Its totient is φ = 12953364480.

The previous prime is 40233214103. The next prime is 40233214121. The reversal of 40233214104 is 40141233204.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40233214103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41434339 + ... + 41435309.

It is an arithmetic number, because the mean of its divisors is an integer number (813126600).

Almost surely, 240233214104 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 40233214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52040102400).

40233214104 is an abundant number, since it is smaller than the sum of its proper divisors (63846990696).

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

40233214104 is a wasteful number, since it uses less digits than its factorization.

40233214104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40233214104 its reverse (40141233204), we get a palindrome (80374447308).

The spelling of 40233214104 in words is "forty billion, two hundred thirty-three million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 109 141 188 218 282 327 337 376 436 564 654 674 872 971 1011 1128 1308 1348 1942 2022 2616 2696 2913 3884 4044 5123 5826 7768 8088 10246 11652 15369 15839 20492 23304 30738 31678 36733 40984 45637 47517 61476 63356 73466 91274 95034 105839 110199 122952 126712 136911 146932 182548 190068 211678 220398 273822 293864 317517 327227 365096 380136 423356 440796 547644 635034 654454 846712 881592 981681 1095288 1270068 1308908 1726451 1963362 2540136 2617816 3452902 3926724 4974433 5179353 6905804 7853448 9948866 10358706 13811608 14923299 15379669 19897732 20717412 29846598 30759338 35667743 39795464 41434824 46139007 59693196 61518676 71335486 92278014 107003229 119386392 123037352 142670972 184556028 214006458 285341944 369112056 428012916 856025832 1676383921 3352767842 5029151763 6705535684 10058303526 13411071368 20116607052 40233214104