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145769242344 = 233113117811491
BaseRepresentation
bin1000011111000010000…
…1100001111011101000
3111221020220112202102120
42013300201201323220
54342013411223334
6150544312431240
713350204054555
oct2076041417350
9457226482376
10145769242344
1156902a34320
12243019a8520
1310990bc496b
1470ab92da2c
153bd2476949
hex21f0861ee8

145769242344 has 64 divisors (see below), whose sum is σ = 410376775680. Its totient is φ = 42747576000.

The previous prime is 145769242337. The next prime is 145769242379. The reversal of 145769242344 is 443242967541.

It is a super-2 number, since 2×1457692423442 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 8897562 + ... + 8913929.

It is an arithmetic number, because the mean of its divisors is an integer number (6412137120).

Almost surely, 2145769242344 is an apocalyptic number.

It is an amenable number.

145769242344 is an abundant number, since it is smaller than the sum of its proper divisors (264607533336).

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

145769242344 is a wasteful number, since it uses less digits than its factorization.

145769242344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17811542 (or 17811538 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 145769242344 in words is "one hundred forty-five billion, seven hundred sixty-nine million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 17811491 35622982 53434473 71245964 106868946 142491928 195926401 213737892 391852802 427475784 552156221 587779203 783705604 1104312442 1175558406 1567411208 1656468663 2208624884 2351116812 3312937326 4417249768 4702233624 6073718431 6625874652 12147436862 13251749304 18221155293 24294873724 36442310586 48589747448 72884621172 145769242344