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2281961439120 = 2435116114170153
BaseRepresentation
bin100001001101001111100…
…000000011111110010000
322002011010211001001002210
4201031033200003332100
5244341424112022440
64504152453112120
7323603063123046
oct41151740037620
98064124031083
102281961439120
117aa857818330
1230a314328640
1313725a180bcc
147c63a008396
153e55bc17a80
hex2134f803f90

2281961439120 has 160 divisors (see below), whose sum is σ = 7843690364544. Its totient is φ = 544133836800.

The previous prime is 2281961439113. The next prime is 2281961439133. The reversal of 2281961439120 is 219341691822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2281961439120.

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, 6924037 + ... + 7246116.

Almost surely, 22281961439120 is an apocalyptic number.

2281961439120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2281961439120 is an abundant number, since it is smaller than the sum of its proper divisors (5561728925424).

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

2281961439120 is a wasteful number, since it uses less digits than its factorization.

2281961439120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14170241 (or 14170235 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 2281961439120 in words is "two trillion, two hundred eighty-one billion, nine hundred sixty-one million, four hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 61 66 80 88 110 120 122 132 165 176 183 220 240 244 264 305 330 366 440 488 528 610 660 671 732 880 915 976 1220 1320 1342 1464 1830 2013 2440 2640 2684 2928 3355 3660 4026 4880 5368 6710 7320 8052 10065 10736 13420 14640 16104 20130 26840 32208 40260 53680 80520 161040 14170153 28340306 42510459 56680612 70850765 85020918 113361224 141701530 155871683 170041836 212552295 226722448 283403060 311743366 340083672 425104590 467615049 566806120 623486732 680167344 779358415 850209180 864379333 935230098 1133612240 1246973464 1558716830 1700418360 1728758666 1870460196 2338075245 2493946928 2593137999 3117433660 3400836720 3457517332 3740920392 4321896665 4676150490 5186275998 6234867320 6915034664 7481840784 8643793330 9352300980 9508172663 10372551996 12469734640 12965689995 13830069328 17287586660 18704601960 19016345326 20745103992 25931379990 28524517989 34575173320 37409203920 38032690652 41490207984 47540863315 51862759980 57049035978 69150346640 76065381304 95081726630 103725519960 114098071956 142622589945 152130762608 190163453260 207451039920 228196143912 285245179890 380326906520 456392287824 570490359780 760653813040 1140980719560 2281961439120