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14748949040 = 2457210336529
BaseRepresentation
bin11011011110001101…
…10001101000110000
31102001212202020111212
431233012301220300
5220201212332130
610435305055252
71031330666300
oct155706615060
942055666455
1014748949040
116289440791
122a37487528
1315108291a7
149dcb53600
155b4c73e95
hex36f1b1a30

14748949040 has 120 divisors (see below), whose sum is σ = 40278270240. Its totient is φ = 5007550464.

The previous prime is 14748948979. The next prime is 14748949073. The reversal of 14748949040 is 4094984741.

14748949040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14748949040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385496 + ... + 422024.

It is an arithmetic number, because the mean of its divisors is an integer number (335652252).

Almost surely, 214748949040 is an apocalyptic number.

14748949040 is a gapful number since it is divisible by the number (10) 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 14748949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139135120).

14748949040 is an abundant number, since it is smaller than the sum of its proper divisors (25529321200).

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

14748949040 is a wasteful number, since it uses less digits than its factorization.

14748949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36659 (or 36646 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 14748949040 in words is "fourteen billion, seven hundred forty-eight million, nine hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 103 112 140 196 206 245 280 392 412 490 515 560 721 784 824 980 1030 1442 1648 1960 2060 2884 3605 3920 4120 5047 5768 7210 8240 10094 11536 14420 20188 25235 28840 36529 40376 50470 57680 73058 80752 100940 146116 182645 201880 255703 292232 365290 403760 511406 584464 730580 1022812 1278515 1461160 1789921 2045624 2557030 2922320 3579842 3762487 4091248 5114060 7159684 7524974 8949605 10228120 14319368 15049948 17899210 18812435 20456240 26337409 28638736 30099896 35798420 37624870 52674818 60199792 71596840 75249740 105349636 131687045 143193680 150499480 184361863 210699272 263374090 300998960 368723726 421398544 526748180 737447452 921809315 1053496360 1474894904 1843618630 2106992720 2949789808 3687237260 7374474520 14748949040