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4149142822272 = 273744500233
BaseRepresentation
bin111100011000001100001…
…011110001110110000000
3112200122122220020002000110
4330120030023301312000
51020434421030303042
612454031230151320
7605523425040000
oct74301413616600
915618586202013
104149142822272
11135a706a56478
1257016b652540
132413548c5826
14104b68d20000
1572dde6bb09c
hex3c60c2f1d80

4149142822272 has 160 divisors (see below), whose sum is σ = 12857258542680. Its totient is φ = 1185469114368.

The previous prime is 4149142822271. The next prime is 4149142822283. The reversal of 4149142822272 is 2722282419414.

It is a super-2 number, since 2×41491428222722 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149142822271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1328133 + ... + 3172100.

Almost surely, 24149142822272 is an apocalyptic number.

4149142822272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4149142822272 is an abundant number, since it is smaller than the sum of its proper divisors (8708115720408).

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

4149142822272 is an frugal number, since it uses more digits than its factorization.

4149142822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500278 (or 4500245 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The spelling of 4149142822272 in words is "four trillion, one hundred forty-nine billion, one hundred forty-two million, eight hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2401 2688 2744 3136 4116 4704 4802 5488 6272 7203 8232 9408 9604 10976 14406 16464 18816 19208 21952 28812 32928 38416 43904 57624 65856 76832 115248 131712 153664 230496 307328 460992 921984 4500233 9000466 13500699 18000932 27001398 31501631 36001864 54002796 63003262 72003728 94504893 108005592 126006524 144007456 189009786 216011184 220511417 252013048 288014912 378019572 432022368 441022834 504026096 576029824 661534251 756039144 864044736 882045668 1008052192 1323068502 1512078288 1543579919 1728089472 1764091336 2016104384 2646137004 3024156576 3087159838 3528182672 4032208768 4630739757 5292274008 6048313152 6174319676 7056365344 9261479514 10584548016 10805059433 12096626304 12348639352 14112730688 18522959028 21169096032 21610118866 24697278704 28225461376 32415178299 37045918056 42338192064 43220237732 49394557408 64830356598 74091836112 84676384128 86440475464 98789114816 129660713196 148183672224 172880950928 197578229632 259321426392 296367344448 345761901856 518642852784 592734688896 691523803712 1037285705568 1383047607424 2074571411136 4149142822272