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102344412420 = 223251914396781
BaseRepresentation
bin101111101010000110…
…0111100110100000100
3100210011120001211111100
41133110030330310010
53134100132144140
6115003311540100
710252122103065
oct1372414746404
9323146054440
10102344412420
113a449830928
1217a02b2a630
139860434923
144d4c57056c
1529dee80530
hex17d433cd04

102344412420 has 144 divisors (see below), whose sum is σ = 312827074560. Its totient is φ = 27083116800.

The previous prime is 102344412419. The next prime is 102344412439. The reversal of 102344412420 is 24214443201.

102344412420 is a `hidden beast` number, since 1 + 0 + 234 + 4 + 4 + 1 + 2 + 420 = 666.

It is a super-3 number, since 3×1023444124203 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15089430 + ... + 15096210.

It is an arithmetic number, because the mean of its divisors is an integer number (2172410240).

Almost surely, 2102344412420 is an apocalyptic number.

102344412420 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 102344412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156413537280).

102344412420 is an abundant number, since it is smaller than the sum of its proper divisors (210482662140).

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

102344412420 is a wasteful number, since it uses less digits than its factorization.

102344412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102344412420 its reverse (24214443201), we get a palindrome (126558855621).

The spelling of 102344412420 in words is "one hundred two billion, three hundred forty-four million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 439 573 764 878 955 1146 1317 1719 1756 1910 2195 2292 2634 2865 3438 3820 3951 4390 5268 5730 6585 6781 6876 7902 8595 8780 11460 13170 13562 15804 17190 19755 20343 26340 27124 33905 34380 39510 40686 61029 67810 79020 81372 83849 101715 122058 135620 167698 203430 244116 251547 305145 335396 406860 419245 503094 610290 754641 838490 1006188 1220580 1257735 1295171 1509282 1676980 2515470 2590342 2976859 3018564 3773205 3885513 5030940 5180684 5953718 6475855 7546410 7771026 8930577 11656539 11907436 12951710 14884295 15092820 15542052 17861154 19427565 23313078 25903420 26791731 29768590 35722308 38855130 44652885 46626156 53583462 58282695 59537180 77710260 89305770 107166924 116565390 133958655 178611540 233130780 267917310 535834620 568580069 1137160138 1705740207 2274320276 2842900345 3411480414 5117220621 5685800690 6822960828 8528701035 10234441242 11371601380 17057402070 20468882484 25586103105 34114804140 51172206210 102344412420