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14010786480 = 2435473493559
BaseRepresentation
bin11010000110001101…
…11010001010110000
31100011102202200211210
431003012322022300
5212143230131410
610234135440120
71004125501665
oct150306721260
940142680753
1014010786480
115a3a7a6289
122870226040
131423917702
1496cac3a6c
15570064220
hex3431ba2b0

14010786480 has 160 divisors (see below), whose sum is σ = 44497152000. Its totient is φ = 3645213696.

The previous prime is 14010786479. The next prime is 14010786509. The reversal of 14010786480 is 8468701041.

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, 3934941 + ... + 3938499.

It is an arithmetic number, because the mean of its divisors is an integer number (278107200).

Almost surely, 214010786480 is an apocalyptic number.

14010786480 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 14010786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22248576000).

14010786480 is an abundant number, since it is smaller than the sum of its proper divisors (30486365520).

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

14010786480 is a wasteful number, since it uses less digits than its factorization.

14010786480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 14010786480 in words is "fourteen billion, ten million, seven hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 349 376 470 564 698 705 752 940 1047 1128 1396 1410 1745 1880 2094 2256 2792 2820 3490 3559 3760 4188 5235 5584 5640 6980 7118 8376 10470 10677 11280 13960 14236 16403 16752 17795 20940 21354 27920 28472 32806 35590 41880 42708 49209 53385 56944 65612 71180 82015 83760 85416 98418 106770 131224 142360 164030 167273 170832 196836 213540 246045 262448 284720 328060 334546 393672 427080 492090 501819 656120 669092 787344 836365 854160 984180 1003638 1242091 1312240 1338184 1672730 1968360 2007276 2484182 2509095 2676368 3345460 3726273 3936720 4014552 4968364 5018190 6210455 6690920 7452546 8029104 9936728 10036380 12420910 13381840 14905092 18631365 19873456 20072760 24841820 29810184 37262730 40145520 49683640 58378277 59620368 74525460 99367280 116756554 149050920 175134831 233513108 291891385 298101840 350269662 467026216 583782770 700539324 875674155 934052432 1167565540 1401078648 1751348310 2335131080 2802157296 3502696620 4670262160 7005393240 14010786480