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30431591904 = 253727438707
BaseRepresentation
bin11100010101110111…
…010011110111100000
32220112211102001011110
4130111313103313200
5444310441420104
621551410343320
72125060156200
oct342567236740
986484361143
1030431591904
11119a692745a
125a9358ab40
132b3c91811c
1416898b4400
15bd197ce89
hex715dd3de0

30431591904 has 144 divisors (see below), whose sum is σ = 93060793728. Its totient is φ = 8682041088.

The previous prime is 30431591903. The next prime is 30431591959. The reversal of 30431591904 is 40919513403.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30431591903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3490719 + ... + 3499425.

It is an arithmetic number, because the mean of its divisors is an integer number (646255512).

Almost surely, 230431591904 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 30431591904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46530396864).

30431591904 is an abundant number, since it is smaller than the sum of its proper divisors (62629201824).

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

30431591904 is a wasteful number, since it uses less digits than its factorization.

30431591904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9477 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 30431591904 in words is "thirty billion, four hundred thirty-one million, five hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 743 784 1176 1486 1568 2229 2352 2972 4458 4704 5201 5944 8707 8916 10402 11888 15603 17414 17832 20804 23776 26121 31206 34828 35664 36407 41608 52242 60949 62412 69656 71328 72814 83216 104484 109221 121898 124824 139312 145628 166432 182847 208968 218442 243796 249648 278624 291256 365694 417936 426643 436884 487592 499296 582512 731388 835872 853286 873768 975184 1165024 1279929 1462776 1706572 1747536 1950368 2559858 2925552 3413144 3495072 5119716 5851104 6469301 6826288 10239432 12938602 13652576 19407903 20478864 25877204 38815806 40957728 45285107 51754408 77631612 90570214 103508816 135855321 155263224 181140428 207017632 271710642 310526448 316995749 362280856 543421284 621052896 633991498 724561712 950987247 1086842568 1267982996 1449123424 1901974494 2173685136 2535965992 3803948988 4347370272 5071931984 7607897976 10143863968 15215795952 30431591904