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40015430532 = 223271135394079
BaseRepresentation
bin100101010001000110…
…110000001110000100
310211021202002111012200
4211101012300032010
51123422422234112
630214405314500
72614422355530
oct452106601604
9124252074180
1040015430532
1115a74738250
127909105a30
133a09325b5c
141d18666bc0
151093033cdc
hex9511b0384

40015430532 has 144 divisors (see below), whose sum is σ = 126175795200. Its totient is φ = 10388134080.

The previous prime is 40015430503. The next prime is 40015430549. The reversal of 40015430532 is 23503451004.

It is a super-2 number, since 2×400154305322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40015430496 and 40015430505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9808069 + ... + 9812147.

It is an arithmetic number, because the mean of its divisors is an integer number (876220800).

Almost surely, 240015430532 is an apocalyptic number.

40015430532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40015430532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63087897600).

40015430532 is an abundant number, since it is smaller than the sum of its proper divisors (86160364668).

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

40015430532 is a wasteful number, since it uses less digits than its factorization.

40015430532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 40015430532 its reverse (23503451004), we get a palindrome (63518881536).

The spelling of 40015430532 in words is "forty billion, fifteen million, four hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3539 4079 7078 8158 10617 12237 14156 16316 21234 24474 24773 28553 31851 36711 38929 42468 44869 48948 49546 57106 63702 73422 74319 77858 85659 89738 99092 114212 116787 127404 134607 146844 148638 155716 171318 179476 222957 233574 256977 269214 272503 297276 314083 342636 350361 403821 445914 467148 513954 538428 545006 628166 700722 807642 817509 891828 942249 1027908 1090012 1256332 1401444 1615284 1635018 1884498 2452527 2826747 3270036 3768996 4905054 5653494 9810108 11306988 14435581 28871162 43306743 57742324 86613486 101049067 129920229 158791391 173226972 202098134 259840458 303147201 317582782 404196268 476374173 519680916 606294402 635165564 909441603 952748346 1111539737 1212588804 1429122519 1818883206 1905496692 2223079474 2858245038 3334619211 3637766412 4446158948 5716490076 6669238422 10003857633 13338476844 20007715266 40015430532