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5157214440 = 233577198539
BaseRepresentation
bin1001100110110010…
…01101100011101000
3111022102012122020020
410303121031203220
541030221330230
62211425000440
7241541412420
oct46331154350
914272178206
105157214440
1122071275a4
12bbb183120
136425b54a1
1436cd07480
15202b5d810
hex13364d8e8

5157214440 has 128 divisors (see below), whose sum is σ = 17708544000. Its totient is φ = 1177014528.

The previous prime is 5157214427. The next prime is 5157214451. The reversal of 5157214440 is 444127515.

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, 599691 + ... + 608229.

It is an arithmetic number, because the mean of its divisors is an integer number (138348000).

Almost surely, 25157214440 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 5157214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854272000).

5157214440 is an abundant number, since it is smaller than the sum of its proper divisors (12551329560).

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

5157214440 is a wasteful number, since it uses less digits than its factorization.

5157214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9279 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 5157214440 is about 71813.7482659135. The cubic root of 5157214440 is about 1727.7135129266.

The spelling of 5157214440 in words is "five billion, one hundred fifty-seven million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 719 840 1438 2157 2876 3595 4314 5033 5752 7190 8539 8628 10066 10785 14380 15099 17078 17256 20132 21570 25165 25617 28760 30198 34156 40264 42695 43140 50330 51234 59773 60396 68312 75495 85390 86280 100660 102468 119546 120792 128085 150990 170780 179319 201320 204936 239092 256170 298865 301980 341560 358638 478184 512340 597730 603960 717276 896595 1024680 1195460 1434552 1793190 2390920 3586380 6139541 7172760 12279082 18418623 24558164 30697705 36837246 42976787 49116328 61395410 73674492 85953574 92093115 122790820 128930361 147348984 171907148 184186230 214883935 245581640 257860722 343814296 368372460 429767870 515721444 644651805 736744920 859535740 1031442888 1289303610 1719071480 2578607220 5157214440