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14481742680 = 23335101913159
BaseRepresentation
bin11010111110010110…
…11101101101011000
31101101020221202022000
431133023131231120
5214124311231210
610353002001000
71021604532066
oct153713355530
941336852260
1014481742680
116161625689
122981aa6160
13149a370b12
149b5479036
1559b591ac0
hex35f2ddb58

14481742680 has 128 divisors (see below), whose sum is σ = 48323520000. Its totient is φ = 3857715072.

The previous prime is 14481742651. The next prime is 14481742703. The reversal of 14481742680 is 8624718441.

14481742680 is a `hidden beast` number, since 1 + 4 + 481 + 74 + 26 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1093941 + ... + 1107099.

It is an arithmetic number, because the mean of its divisors is an integer number (377527500).

Almost surely, 214481742680 is an apocalyptic number.

14481742680 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 14481742680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24161760000).

14481742680 is an abundant number, since it is smaller than the sum of its proper divisors (33841777320).

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

14481742680 is a wasteful number, since it uses less digits than its factorization.

14481742680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14198 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 14481742680 in words is "fourteen billion, four hundred eighty-one million, seven hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1019 1080 2038 3057 4076 5095 6114 8152 9171 10190 12228 13159 15285 18342 20380 24456 26318 27513 30570 36684 39477 40760 45855 52636 55026 61140 65795 73368 78954 91710 105272 110052 118431 122280 131590 137565 157908 183420 197385 220104 236862 263180 275130 315816 355293 366840 394770 473724 526360 550260 592155 710586 789540 947448 1100520 1184310 1421172 1579080 1776465 2368620 2842344 3552930 4737240 7105860 13409021 14211720 26818042 40227063 53636084 67045105 80454126 107272168 120681189 134090210 160908252 201135315 241362378 268180420 321816504 362043567 402270630 482724756 536360840 603405945 724087134 804541260 965449512 1206811890 1448174268 1609082520 1810217835 2413623780 2896348536 3620435670 4827247560 7240871340 14481742680