Search a number
-
+
399245971224 = 233232947995197
BaseRepresentation
bin1011100111101001110…
…10100000111100011000
31102011112010201201222010
411303310322200330120
523020123432034344
6503224442425520
740562454522252
oct5636472407430
91364463651863
10399245971224
11144356a40421
12654628022a0
132b858362b79
1415475da2cd2
15a5ba6028b9
hex5cf4ea0f18

399245971224 has 128 divisors (see below), whose sum is σ = 1077857280000. Its totient is φ = 122857050624.

The previous prime is 399245971219. The next prime is 399245971249. The reversal of 399245971224 is 422179542993.

It is a super-3 number, since 3×3992459712243 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76819794 + ... + 76824990.

It is an arithmetic number, because the mean of its divisors is an integer number (8420760000).

Almost surely, 2399245971224 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 399245971224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538928640000).

399245971224 is an abundant number, since it is smaller than the sum of its proper divisors (678611308776).

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

399245971224 is a wasteful number, since it uses less digits than its factorization.

399245971224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10057 (or 10053 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 399245971224 in words is "three hundred ninety-nine billion, two hundred forty-five million, nine hundred seventy-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 4799 5197 5336 8004 9598 10394 14397 15591 16008 19196 20788 28794 31182 38392 41576 57588 62364 110377 115176 119531 124728 139171 150713 220754 239062 278342 301426 331131 358593 417513 441508 452139 478124 556684 602852 662262 717186 835026 883016 904278 956248 1113368 1205704 1324524 1434372 1670052 1808556 2649048 2868744 3200933 3340104 3466399 3617112 6401866 6932798 9602799 10399197 12803732 13865596 19205598 20798394 24940403 25607464 27731192 38411196 41596788 49880806 74821209 76822392 83193576 99761612 149642418 199523224 299284836 573629269 598569672 723271687 1147258538 1446543374 1720887807 2169815061 2294517076 2893086748 3441775614 4339630122 4589034152 5786173496 6883551228 8679260244 13767102456 16635248801 17358520488 33270497602 49905746403 66540995204 99811492806 133081990408 199622985612 399245971224