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145023033555 = 33523179311839
BaseRepresentation
bin1000011100010000001…
…0111110000011010011
3111212022220102102102000
42013010002332003103
54334001344033210
6150342254525043
713322543306001
oct2070402760323
9455286372360
10145023033555
115655a7a3644
1224133b06783
13108a24269ba
14703a7a7a71
153b8bbc7ac0
hex21c40be0d3

145023033555 has 128 divisors (see below), whose sum is σ = 271724544000. Its totient is φ = 73245490560.

The previous prime is 145023033523. The next prime is 145023033557. The reversal of 145023033555 is 555330320541.

145023033555 is a `hidden beast` number, since 1 + 4 + 50 + 23 + 0 + 33 + 555 = 666.

It is not a de Polignac number, because 145023033555 - 25 = 145023033523 is a prime.

It is a super-2 number, since 2×1450230335552 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145023033557) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172851826 + ... + 172852664.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848000).

Almost surely, 2145023033555 is an apocalyptic number.

145023033555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145023033555 is a deficient number, since it is larger than the sum of its proper divisors (126701510445).

145023033555 is a wasteful number, since it uses less digits than its factorization.

145023033555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 145023033555 in words is "one hundred forty-five billion, twenty-three million, thirty-three thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 179 207 311 345 537 621 839 895 933 1035 1555 1611 2517 2685 2799 3105 4117 4195 4665 4833 7153 7551 8055 8397 12351 12585 13995 19297 20585 21459 22653 24165 35765 37053 37755 41985 55669 57891 61755 64377 96485 107295 111159 113265 150181 167007 173673 185265 193131 260929 278345 289455 321885 450543 501021 521019 555795 750905 782787 835035 868365 965655 1280387 1304645 1351629 1503063 2252715 2348361 2505105 2605095 3454163 3841161 3913935 4054887 6001367 6401935 6758145 7045083 7515315 10362489 11523483 11741805 17270815 18004101 19205805 20274435 30006835 31087467 34570449 35225415 46706291 51812445 54012303 57617415 90020505 93262401 140118873 155437335 162036909 172852245 233531455 270061515 420356619 466312005 700594365 810184545 1074244693 1261069857 2101783095 3222734079 5371223465 6305349285 9668202237 16113670395 29004606711 48341011185 145023033555