Search a number
-
+
14612631100160 = 285293710639439
BaseRepresentation
bin1101010010100100010010…
…1011111001101100000000
31220201221202101102101021012
43110221010223321230000
53403403132030201120
651024541113420052
73035504422651352
oct324510453715400
956657671371235
1014612631100160
11472420033a735
12178003870a628
1381cc71710502
143873800910d2
151a5194aee1c5
hexd4a44af9b00

14612631100160 has 144 divisors (see below), whose sum is σ = 37187396265600. Its totient is φ = 5490971394048.

The previous prime is 14612631100157. The next prime is 14612631100169. The reversal of 14612631100160 is 6100113621641.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (14612631100169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3946280 + ... + 6693159.

It is an arithmetic number, because the mean of its divisors is an integer number (258245807400).

Almost surely, 214612631100160 is an apocalyptic number.

14612631100160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14612631100160 is an abundant number, since it is smaller than the sum of its proper divisors (22574765165440).

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

14612631100160 is a wasteful number, since it uses less digits than its factorization.

14612631100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639526 (or 10639512 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 14612631100160 in words is "fourteen trillion, six hundred twelve billion, six hundred thirty-one million, one hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 116 128 145 148 160 185 232 256 290 296 320 370 464 580 592 640 740 928 1073 1160 1184 1280 1480 1856 2146 2320 2368 2960 3712 4292 4640 4736 5365 5920 7424 8584 9280 9472 10730 11840 17168 18560 21460 23680 34336 37120 42920 47360 68672 85840 137344 171680 274688 343360 686720 1373440 10639439 21278878 42557756 53197195 85115512 106394390 170231024 212788780 308543731 340462048 393659243 425577560 617087462 680924096 787318486 851155120 1234174924 1361848192 1542718655 1574636972 1702310240 1968296215 2468349848 2723696384 3085437310 3149273944 3404620480 3936592430 4936699696 6170874620 6298547888 6809240960 7873184860 9873399392 11416118047 12341749240 12597095776 13618481920 15746369720 19746798784 22832236094 24683498480 25194191552 31492739440 39493597568 45664472188 49366996960 50388383104 57080590235 62985478880 78987195136 91328944376 98733993920 100776766208 114161180470 125970957760 182657888752 197467987840 228322360940 251941915520 365315777504 394935975680 456644721880 503883831040 730631555008 913289443760 1461263110016 1826578887520 2922526220032 3653157775040 7306315550080 14612631100160