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145444426064640 = 2832512625384207
BaseRepresentation
bin100001000100011111101011…
…010110011010001100000000
3201001222100111010101221202200
4201010133223112122030000
5123030430141033032030
61233200125200313200
742431004315206463
oct4104375326321400
9631870433357680
10145444426064640
11423856a886aaaa
1214390130012800
1363204731531c1
1427cb7951852da
1511c3523974d60
hex8447eb59a300

145444426064640 has 108 divisors (see below), whose sum is σ = 503222563762464. Its totient is φ = 38785180280832.

The previous prime is 145444426064591. The next prime is 145444426064657. The reversal of 145444426064640 is 46460624444541.

145444426064640 is a `hidden beast` number, since 1 + 4 + 5 + 44 + 442 + 60 + 64 + 6 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6312680584 + ... + 6312703623.

Almost surely, 2145444426064640 is an apocalyptic number.

145444426064640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145444426064640 is an abundant number, since it is smaller than the sum of its proper divisors (357778137697824).

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

145444426064640 is a wasteful number, since it uses less digits than its factorization.

145444426064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12625384234 (or 12625384217 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 145444426064640 in words is "one hundred forty-five trillion, four hundred forty-four billion, four hundred twenty-six million, sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 12625384207 25250768414 37876152621 50501536828 63126921035 75752305242 101003073656 113628457863 126253842070 151504610484 189380763105 202006147312 227256915726 252507684140 303009220968 378761526210 404012294624 454513831452 505015368280 568142289315 606018441936 757523052420 808024589248 909027662904 1010030736560 1136284578630 1212036883872 1515046104840 1616049178496 1818055325808 2020061473120 2272569157260 2424073767744 3030092209680 3232098356992 3636110651616 4040122946240 4545138314520 4848147535488 6060184419360 7272221303232 8080245892480 9090276629040 9696295070976 12120368838720 14544442606464 16160491784960 18180553258080 24240737677440 29088885212928 36361106516160 48481475354880 72722213032320 145444426064640