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102324420044 = 227112172377243
BaseRepresentation
bin101111101001100000…
…0101011110111001100
3100210010011110010002222
41133103000223313030
53134030022420134
6115001315234512
710251460135220
oct1372300536714
9323104403088
10102324420044
113a439516300
12179b82a8a38
139859254b12
144d49a48780
1529dd331a2e
hex17d302bdcc

102324420044 has 144 divisors (see below), whose sum is σ = 248535350784. Its totient is φ = 35889722880.

The previous prime is 102324420043. The next prime is 102324420053. The reversal of 102324420044 is 440024423201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102324419995 and 102324420022.

It is not an unprimeable number, because it can be changed into a prime (102324420043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286087 + ... + 1363329.

It is an arithmetic number, because the mean of its divisors is an integer number (1725939936).

Almost surely, 2102324420044 is an apocalyptic number.

102324420044 is a gapful number since it is divisible by the number (14) 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 102324420044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124267675392).

102324420044 is an abundant number, since it is smaller than the sum of its proper divisors (146210930740).

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

102324420044 is a wasteful number, since it uses less digits than its factorization.

102324420044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77316 (or 77303 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 102324420044 its reverse (440024423201), we get a palindrome (542348843245).

The spelling of 102324420044 in words is "one hundred two billion, three hundred twenty-four million, four hundred twenty thousand, forty-four".

Divisors: 1 2 4 7 11 14 17 22 23 28 34 44 46 68 77 92 119 121 154 161 187 238 242 253 308 322 374 391 476 484 506 644 748 782 847 1012 1309 1564 1694 1771 2057 2618 2737 2783 3388 3542 4114 4301 5236 5474 5566 7084 8228 8602 10948 11132 14399 17204 19481 28798 30107 38962 47311 57596 60214 77243 77924 94622 120428 154486 189244 308972 331177 540701 662354 849673 1081402 1313131 1324708 1699346 1776589 2162804 2626262 3398692 3553178 5252524 5947711 7106356 9191917 9346403 11895422 12436123 14444441 18383834 18692806 19542479 23790844 24872246 28888882 30202013 36767668 37385612 39084958 49744492 57777764 60404026 65424821 78169916 101111087 120808052 130849642 136797353 158888851 202222174 211414091 214967269 261699284 273594706 317777702 332222143 404444348 422828182 429934538 547189412 635555404 664444286 845656364 859869076 1112221957 1328888572 1504770883 2224443914 2325555001 3009541766 3654443573 4448887828 4651110002 6019083532 7308887146 9302220004 14617774292 25581105011 51162210022 102324420044