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674021051440 = 2451141124914957
BaseRepresentation
bin10011100111011101100…
…10010000110000110000
32101102202200112001221221
421303232302100300300
542020343342121230
61233350242154424
766460604256502
oct11635662206060
92342680461857
10674021051440
1123a93a348080
12aa768352a14
134b738187429
14248a0d2dd72
15127ed4b127a
hex9ceec90c30

674021051440 has 160 divisors (see below), whose sum is σ = 1752778440000. Its totient is φ = 238913126400.

The previous prime is 674021051359. The next prime is 674021051471. The reversal of 674021051440 is 44150120476.

It is a super-3 number, since 3×6740210514403 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 674021051396 and 674021051405.

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, 45056442 + ... + 45071398.

It is an arithmetic number, because the mean of its divisors is an integer number (10954865250).

Almost surely, 2674021051440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674021051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876389220000).

674021051440 is an abundant number, since it is smaller than the sum of its proper divisors (1078757388560).

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

674021051440 is a wasteful number, since it uses less digits than its factorization.

674021051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16271 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 674021051440 in words is "six hundred seventy-four billion, twenty-one million, fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1249 1640 1804 2255 2498 3280 3608 4510 4996 6245 7216 9020 9992 12490 13739 14957 18040 19984 24980 27478 29914 36080 49960 51209 54956 59828 68695 74785 99920 102418 109912 119656 137390 149570 164527 204836 219824 239312 256045 274780 299140 329054 409672 512090 549560 563299 598280 613237 658108 819344 822635 1024180 1099120 1126598 1196560 1226474 1316216 1645270 2048360 2253196 2452948 2632432 2816495 3066185 3290540 4096720 4506392 4905896 5632990 6132370 6581080 6745607 9012784 9811792 11265980 12264740 13162160 13491214 18681293 22531960 24529480 26982428 33728035 37362586 45063920 49058960 53964856 67456070 74725172 93406465 107929712 134912140 149450344 186812930 205494223 269824280 298900688 373625860 410988446 539648560 747251720 765933013 821976892 1027471115 1494503440 1531866026 1643953784 2054942230 3063732052 3287907568 3829665065 4109884460 6127464104 7659330130 8219768920 8425263143 12254928208 15318660260 16439537840 16850526286 30637320520 33701052572 42126315715 61274641040 67402105144 84252631430 134804210288 168505262860 337010525720 674021051440