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14525522040 = 2335198237741
BaseRepresentation
bin11011000011100100…
…11110000001111000
31101111022022222021210
431201302132001320
5214222013201130
610401204203120
71022645620521
oct154162360170
941438288253
1014525522040
116184307777
1229946994a0
1314a645b973
149bb1d3848
155a033d5b0
hex361c9e078

14525522040 has 128 divisors (see below), whose sum is σ = 45931737600. Its totient is φ = 3664673280.

The previous prime is 14525522017. The next prime is 14525522069. The reversal of 14525522040 is 4022552541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14525521989 and 14525522007.

It is a congruent number.

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, 1872570 + ... + 1880310.

It is an arithmetic number, because the mean of its divisors is an integer number (358841700).

Almost surely, 214525522040 is an apocalyptic number.

14525522040 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 14525522040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22965868800).

14525522040 is an abundant number, since it is smaller than the sum of its proper divisors (31406215560).

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

14525522040 is a wasteful number, since it uses less digits than its factorization.

14525522040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8597 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 14525522040 in words is "fourteen billion, five hundred twenty-five million, five hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 823 1140 1646 2280 2469 3292 4115 4938 6584 7741 8230 9876 12345 15482 15637 16460 19752 23223 24690 30964 31274 32920 38705 46446 46911 49380 61928 62548 77410 78185 92892 93822 98760 116115 125096 147079 154820 156370 185784 187644 232230 234555 294158 309640 312740 375288 441237 464460 469110 588316 625480 735395 882474 928920 938220 1176632 1470790 1764948 1876440 2206185 2941580 3529896 4412370 5883160 6370843 8824740 12741686 17649480 19112529 25483372 31854215 38225058 50966744 63708430 76450116 95562645 121046017 127416860 152900232 191125290 242092034 254833720 363138051 382250580 484184068 605230085 726276102 764501160 968368136 1210460170 1452552204 1815690255 2420920340 2905104408 3631380510 4841840680 7262761020 14525522040