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145343362640 = 2457678814397
BaseRepresentation
bin1000011101011100100…
…0111011011001010000
3111220011020011211022012
42013113020323121100
54340130400101030
6150434140402052
713333513125020
oct2072710733120
9456136154265
10145343362640
11567045a2623
1224203246328
13109238c1938
14706b14da80
153ba9da0095
hex21d723b650

145343362640 has 160 divisors (see below), whose sum is σ = 392496378624. Its totient is φ = 49021378560.

The previous prime is 145343362631. The next prime is 145343362657. The reversal of 145343362640 is 46263343541.

It is a super-2 number, since 2×1453433626402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33052922 + ... + 33057318.

Almost surely, 2145343362640 is an apocalyptic number.

145343362640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145343362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196248189312).

145343362640 is an abundant number, since it is smaller than the sum of its proper divisors (247153015984).

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

145343362640 is a wasteful number, since it uses less digits than its factorization.

145343362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 145343362640 in words is "one hundred forty-five billion, three hundred forty-three million, three hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 881 938 1072 1340 1762 1876 2345 2680 3524 3752 4397 4405 4690 5360 6167 7048 7504 8794 8810 9380 12334 14096 17588 17620 18760 21985 24668 30779 30835 35176 35240 37520 43970 49336 59027 61558 61670 70352 70480 87940 98672 118054 123116 123340 153895 175880 236108 246232 246680 294599 295135 307790 351760 413189 472216 492464 493360 589198 590270 615580 826378 944432 1178396 1180540 1231160 1472995 1652756 2062193 2065945 2356792 2361080 2462320 2945990 3305512 3873757 4124386 4131890 4713584 4722160 5891980 6611024 7747514 8248772 8263780 10310965 11783960 15495028 16497544 16527560 19368785 20621930 23567920 27116299 30990056 32995088 33055120 38737570 41243860 54232598 61980112 77475140 82487720 108465196 135581495 154950280 164975440 216930392 259541719 271162990 309900560 433860784 519083438 542325980 1038166876 1084651960 1297708595 1816792033 2076333752 2169303920 2595417190 3633584066 4152667504 5190834380 7267168132 9083960165 10381668760 14534336264 18167920330 20763337520 29068672528 36335840660 72671681320 145343362640