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31004412432 = 24371791932671
BaseRepresentation
bin11100111000000000…
…011100101000010000
32222000202021100012120
4130320000130220100
51001444112144212
622124312054240
72145214104660
oct347000345020
988022240176
1031004412432
1112170200a54
126013394380
132c014b8796
1417019c41a0
15c16dcc88c
hex73801ca10

31004412432 has 160 divisors (see below), whose sum is σ = 92559790080. Its totient is φ = 8759992320.

The previous prime is 31004412431. The next prime is 31004412449. The reversal of 31004412432 is 23421440013.

It is a super-2 number, since 2×310044124322 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31004412431) 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, 11606457 + ... + 11609127.

It is an arithmetic number, because the mean of its divisors is an integer number (578498688).

Almost surely, 231004412432 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 31004412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46279895040).

31004412432 is an abundant number, since it is smaller than the sum of its proper divisors (61555377648).

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

31004412432 is a wasteful number, since it uses less digits than its factorization.

31004412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3055 counting only the distinct ones).

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

Adding to 31004412432 its reverse (23421440013), we get a palindrome (54425852445).

The spelling of 31004412432 in words is "thirty-one billion, four million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 193 336 358 386 537 579 716 772 1074 1158 1253 1351 1432 1544 2148 2316 2506 2671 2702 2864 3088 3759 4053 4296 4632 5012 5342 5404 7518 8013 8106 8592 9264 10024 10684 10808 15036 16026 16212 18697 20048 21368 21616 30072 32052 32424 34547 37394 42736 56091 60144 64104 64848 69094 74788 103641 112182 128208 138188 149576 207282 224364 241829 276376 299152 414564 448728 478109 483658 515503 552752 725487 829128 897456 956218 967316 1031006 1434327 1450974 1546509 1658256 1912436 1934632 2062012 2868654 2901948 3093018 3346763 3608521 3824872 3869264 4124024 5737308 5803896 6186036 6693526 7217042 7649744 8248048 10040289 10825563 11474616 11607792 12372072 13387052 14434084 20080578 21651126 22949232 24744144 26774104 28868168 40161156 43302252 53548208 57736336 80322312 86604504 92275037 160644624 173209008 184550074 276825111 369100148 553650222 645925259 738200296 1107300444 1291850518 1476400592 1937775777 2214600888 2583701036 3875551554 4429201776 5167402072 7751103108 10334804144 15502206216 31004412432