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397351130112 = 21032127339491
BaseRepresentation
bin1011100100000111111…
…10010001010000000000
31101222122002020211121200
411302003332101100000
523002233342130422
6502312433421200
740464505610166
oct5620376212000
91358562224550
10397351130112
11143574399232
126501410a800
132b615917501
141533647d236
15a5090b32ac
hex5c83f91400

397351130112 has 132 divisors (see below), whose sum is σ = 1156380366336. Its totient is φ = 131407073280.

The previous prime is 397351130107. The next prime is 397351130149. The reversal of 397351130112 is 211031153793.

It is a happy number.

397351130112 is a `hidden beast` number, since 39 + 73 + 511 + 30 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000687 + ... + 1340177.

Almost surely, 2397351130112 is an apocalyptic number.

397351130112 is a gapful number since it is divisible by the number (32) 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 397351130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578190183168).

397351130112 is an abundant number, since it is smaller than the sum of its proper divisors (759029236224).

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

397351130112 is a wasteful number, since it uses less digits than its factorization.

397351130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339644 (or 339623 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 397351130112 in words is "three hundred ninety-seven billion, three hundred fifty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1024 1143 1152 1524 1536 2032 2286 2304 3048 3072 4064 4572 4608 6096 8128 9144 9216 12192 16256 18288 24384 32512 36576 48768 65024 73152 97536 130048 146304 195072 292608 339491 390144 585216 678982 1018473 1170432 1357964 2036946 2715928 3055419 4073892 5431856 6110838 8147784 10863712 12221676 16295568 21727424 24443352 32591136 43115357 43454848 48886704 65182272 86230714 86909696 97773408 129346071 130364544 172461428 173819392 195546816 258692142 260729088 344922856 347638784 388038213 391093632 517384284 521458176 689845712 776076426 782187264 1034768568 1042916352 1379691424 1552152852 1564374528 2069537136 2759382848 3104305704 3128749056 4139074272 5518765696 6208611408 8278148544 11037531392 12417222816 16556297088 22075062784 24834445632 33112594176 44150125568 49668891264 66225188352 99337782528 132450376704 198675565056 397351130112