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102104544340440 = 233251698716696517
BaseRepresentation
bin10111001101110100010001…
…000110000110100111011000
3111101112002200020210010122200
4113031310101012012213120
5101340340101322343230
61001054102523450200
730335544535652625
oct2715642106064730
9441462606703580
10102104544340440
112a596326469314
12b550665386960
1344c8556819895
141b2dc5a09134c
15bc0e90933160
hex5cdd111869d8

102104544340440 has 96 divisors (see below), whose sum is σ = 331859323907280. Its totient is φ = 27226273994496.

The previous prime is 102104544340319. The next prime is 102104544340457. The reversal of 102104544340440 is 44043445401201.

102104544340440 is a `hidden beast` number, since 1 + 0 + 2 + 104 + 544 + 3 + 4 + 0 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102104544340395 and 102104544340404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2232939 + ... + 14463578.

Almost surely, 2102104544340440 is an apocalyptic number.

102104544340440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102104544340440 is an abundant number, since it is smaller than the sum of its proper divisors (229754779566840).

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

102104544340440 is a wasteful number, since it uses less digits than its factorization.

102104544340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16713521 (or 16713514 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 102104544340440 its reverse (44043445401201), we get a palindrome (146147989741641).

The spelling of 102104544340440 in words is "one hundred two trillion, one hundred four billion, five hundred forty-four million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 16987 33974 50961 67948 84935 101922 135896 152883 169870 203844 254805 305766 339740 407688 509610 611532 679480 764415 1019220 1223064 1528830 2038440 3057660 6115320 16696517 33393034 50089551 66786068 83482585 100179102 133572136 150268653 166965170 200358204 250447755 300537306 333930340 400716408 500895510 601074612 667860680 751343265 1001791020 1202149224 1502686530 2003582040 3005373060 6010746120 283623734279 567247468558 850871202837 1134494937116 1418118671395 1701742405674 2268989874232 2552613608511 2836237342790 3403484811348 4254356014185 5105227217022 5672474685580 6806969622696 8508712028370 10210454434044 11344949371160 12763068042555 17017424056740 20420908868088 25526136085110 34034848113480 51052272170220 102104544340440