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14531314250544 = 2437136075480669
BaseRepresentation
bin1101001101110101010111…
…0100101111001100110000
31220110011212021102102012020
43103131111310233030300
53401040112422004134
650523332115231440
73026565341101140
oct323352564571460
956404767372166
1014531314250544
1146a2772077a93
1217683238a8580
138153b2821250
1438346848a920
151a2ed5c12b49
hexd3755d2f330

14531314250544 has 160 divisors (see below), whose sum is σ = 46278251335680. Its totient is φ = 3826120098816.

The previous prime is 14531314250539. The next prime is 14531314250597. The reversal of 14531314250544 is 44505241313541.

It is a super-2 number, since 2×145313142505442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14531314250496 and 14531314250505.

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, 88959 + ... + 5391710.

It is an arithmetic number, because the mean of its divisors is an integer number (289239070848).

Almost surely, 214531314250544 is an apocalyptic number.

14531314250544 is a gapful number since it is divisible by the number (14) 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 14531314250544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23139125667840).

14531314250544 is an abundant number, since it is smaller than the sum of its proper divisors (31746937085136).

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

14531314250544 is a wasteful number, since it uses less digits than its factorization.

14531314250544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481307 (or 5481301 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 14531314250544 in words is "fourteen trillion, five hundred thirty-one billion, three hundred fourteen million, two hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 607 624 728 1092 1214 1456 1821 2184 2428 3642 4249 4368 4856 7284 7891 8498 9712 12747 14568 15782 16996 23673 25494 29136 31564 33992 47346 50988 55237 63128 67984 94692 101976 110474 126256 165711 189384 203952 220948 331422 378768 441896 662844 883792 1325688 2651376 5480669 10961338 16442007 21922676 32884014 38364683 43845352 65768028 71248697 76729366 87690704 115094049 131536056 142497394 153458732 213746091 230188098 263072112 284994788 306917464 427492182 460376196 498740879 569989576 613834928 854984364 920752392 997481758 1139979152 1496222637 1709968728 1841504784 1994963516 2992445274 3326766083 3419937456 3989927032 5984890548 6653532166 7979854064 9980298249 11969781096 13307064332 19960596498 23287362581 23939562192 26614128664 39921192996 43247959079 46574725162 53228257328 69862087743 79842385992 86495918158 93149450324 129743877237 139724175486 159684771984 172991836316 186298900648 259487754474 279448350972 302735713553 345983672632 372597801296 518975508948 558896701944 605471427106 691967345264 908207140659 1037951017896 1117793403888 1210942854212 1816414281318 2075902035792 2421885708424 3632828562636 4843771416848 7265657125272 14531314250544