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14724307640 = 2357193178731
BaseRepresentation
bin11011011011010001…
…10001101010111000
31102000011101022212102
431231220301222320
5220123410321030
610433025002532
71030611356420
oct155550615270
942004338772
1014724307640
116276540299
122a2b183448
1315086ac293
149d977b480
155b2a07c45
hex36da31ab8

14724307640 has 128 divisors (see below), whose sum is σ = 39985574400. Its totient is φ = 4766999040.

The previous prime is 14724307589. The next prime is 14724307687. The reversal of 14724307640 is 4670342741.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 14724307594 and 14724307603.

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, 1682075 + ... + 1690805.

It is an arithmetic number, because the mean of its divisors is an integer number (312387300).

Almost surely, 214724307640 is an apocalyptic number.

14724307640 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 14724307640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992787200).

14724307640 is an abundant number, since it is smaller than the sum of its proper divisors (25261266760).

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

14724307640 is a wasteful number, since it uses less digits than its factorization.

14724307640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 14724307640 in words is "fourteen billion, seven hundred twenty-four million, three hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 317 380 532 634 665 760 1064 1268 1330 1585 2219 2536 2660 3170 4438 5320 6023 6340 8731 8876 11095 12046 12680 17462 17752 22190 24092 30115 34924 42161 43655 44380 48184 60230 61117 69848 84322 87310 88760 120460 122234 165889 168644 174620 210805 240920 244468 305585 331778 337288 349240 421610 488936 611170 663556 829445 843220 1161223 1222340 1327112 1658890 1686440 2322446 2444680 2767727 3317780 4644892 5535454 5806115 6635560 9289784 11070908 11612230 13838635 19374089 22141816 23224460 27677270 38748178 46448920 52586813 55354540 77496356 96870445 105173626 110709080 154992712 193740890 210347252 262934065 368107691 387481780 420694504 525868130 736215382 774963560 1051736260 1472430764 1840538455 2103472520 2944861528 3681076910 7362153820 14724307640