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1074335034640 = 245716711487757
BaseRepresentation
bin11111010001000110101…
…10111010110100010000
310210201001020220102221011
433220203112322310100
5120100214232102030
62141313120140304
7140422011056440
oct17504326726420
93721036812834
101074335034640
1138469413471a
12154268767694
137a40387b13a
1439dd8aa6120
151ce2c72bb2a
hexfa235bad10

1074335034640 has 80 divisors (see below), whose sum is σ = 2871755695872. Its totient is φ = 366137759232.

The previous prime is 1074335034593. The next prime is 1074335034671. The reversal of 1074335034640 is 464305334701.

1074335034640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1074335034593 and 1074335034602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5650359 + ... + 5837398.

Almost surely, 21074335034640 is an apocalyptic number.

1074335034640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074335034640 is an abundant number, since it is smaller than the sum of its proper divisors (1797420661232).

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

1074335034640 is a wasteful number, since it uses less digits than its factorization.

1074335034640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11487944 (or 11487938 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 1074335034640 in words is "one trillion, seventy-four billion, three hundred thirty-five million, thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1336 1670 2338 2672 3340 4676 5845 6680 9352 11690 13360 18704 23380 46760 93520 11487757 22975514 45951028 57438785 80414299 91902056 114877570 160828598 183804112 229755140 321657196 402071495 459510280 643314392 804142990 919020560 1286628784 1608285980 1918455419 3216571960 3836910838 6433143920 7673821676 9592277095 13429187933 15347643352 19184554190 26858375866 30695286704 38369108380 53716751732 67145939665 76738216760 107433503464 134291879330 153476433520 214867006928 268583758660 537167517320 1074335034640