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145445554431520 = 2557183170924141
BaseRepresentation
bin100001000100100000101110…
…100110110010011000100000
3201001222110101202121221010121
4201010200232212302120200
5123030434443413302040
61233200433145210024
742431044266160030
oct4104405646623040
9631873352557117
10145445554431520
114238612779a812
12143903a5a90914
1363205c2b56705
1427cb860d898c0
1511c358ca60c4a
hex84482e9b2620

145445554431520 has 96 divisors (see below), whose sum is σ = 392917477107456. Its totient is φ = 49839811660800.

The previous prime is 145445554431511. The next prime is 145445554431599. The reversal of 145445554431520 is 25134455544541.

It is a super-2 number, since 2×1454455544315202 (a number of 29 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, 33411351 + ... + 37512790.

It is an arithmetic number, because the mean of its divisors is an integer number (4092890386536).

Almost surely, 2145445554431520 is an apocalyptic number.

145445554431520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145445554431520 is an abundant number, since it is smaller than the sum of its proper divisors (247471922675936).

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

145445554431520 is a wasteful number, since it uses less digits than its factorization.

145445554431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70925994 (or 70925986 counting only the distinct ones).

The product of its (nonzero) digits is 19200000, while the sum is 52.

The spelling of 145445554431520 in words is "one hundred forty-five trillion, four hundred forty-five billion, five hundred fifty-four million, four hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1831 3662 7324 9155 12817 14648 18310 25634 29296 36620 51268 58592 64085 73240 102536 128170 146480 205072 256340 292960 410144 512680 1025360 2050720 70924141 141848282 283696564 354620705 496468987 567393128 709241410 992937974 1134786256 1418482820 1985875948 2269572512 2482344935 2836965640 3971751896 4964689870 5673931280 7943503792 9929379740 11347862560 15887007584 19858759480 39717518960 79435037920 129862102171 259724204342 519448408684 649310510855 909034715197 1038896817368 1298621021710 1818069430394 2077793634736 2597242043420 3636138860788 4155587269472 4545173575985 5194484086840 7272277721576 9090347151970 10388968173680 14544555443152 18180694303940 20777936347360 29089110886304 36361388607880 72722777215760 145445554431520