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450304244145 = 325741206316901
BaseRepresentation
bin1101000110110000011…
…10010111100110110001
31121001022110212202010100
412203120032113212301
524334210341303040
6542511130423013
744350646630640
oct6433016274661
91531273782110
10450304244145
11163a78008598
1273331b91a69
1333604433892
1417b1b08d357
15baa7d39b30
hex68d83979b1

450304244145 has 96 divisors (see below), whose sum is σ = 914285159424. Its totient is φ = 200723328000.

The previous prime is 450304244123. The next prime is 450304244147. The reversal of 450304244145 is 541442403054.

450304244145 is a `hidden beast` number, since 4 + 503 + 0 + 4 + 2 + 4 + 4 + 145 = 666.

It is not a de Polignac number, because 450304244145 - 26 = 450304244081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (450304244147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26635195 + ... + 26652095.

It is an arithmetic number, because the mean of its divisors is an integer number (9523803744).

Almost surely, 2450304244145 is an apocalyptic number.

450304244145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450304244145 is an abundant number, since it is smaller than the sum of its proper divisors (463980915279).

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

450304244145 is a wasteful number, since it uses less digits than its factorization.

450304244145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19023 (or 19020 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 450304244145 its reverse (541442403054), we get a palindrome (991746647199).

The spelling of 450304244145 in words is "four hundred fifty billion, three hundred four million, two hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2063 2583 4305 6189 10315 12915 14441 16901 18567 30945 43323 50703 72205 84505 84583 92835 118307 129969 152109 216615 253515 253749 354921 422915 591535 592081 649845 692941 760545 761247 1064763 1268745 1774605 1776243 2078823 2960405 3464705 3806235 4850587 5323815 5328729 6236469 8881215 10394115 14551761 24252935 26643645 31182345 34866763 43655283 72758805 104600289 174333815 218276415 244067341 313800867 523001445 732202023 1220336705 1429537283 1569004335 2196606069 3661010115 4288611849 7147686415 10006760981 10983030345 12865835547 21443059245 30020282943 50033804905 64329177735 90060848829 150101414715 450304244145