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102414202040 = 23519137983617
BaseRepresentation
bin101111101100001011…
…1001011010010111000
3100210100102101111212002
41133120113023102320
53134221013431130
6115014243440132
710253630232263
oct1373027132270
9323312344762
10102414202040
113a4851688a7
1217a22386048
139871a2b767
144d57939cda
1529e6168b45
hex17d85cb4b8

102414202040 has 64 divisors (see below), whose sum is σ = 244330711200. Its totient is φ = 38526271488.

The previous prime is 102414202027. The next prime is 102414202043. The reversal of 102414202040 is 40202414201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414202043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387689 + ... + 595928.

Almost surely, 2102414202040 is an apocalyptic number.

102414202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414202040 is an abundant number, since it is smaller than the sum of its proper divisors (141916509160).

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

102414202040 is a wasteful number, since it uses less digits than its factorization.

102414202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983784 (or 983780 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102414202040 its reverse (40202414201), we get a palindrome (142616616241).

The spelling of 102414202040 in words is "one hundred two billion, four hundred fourteen million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 137 152 190 274 380 548 685 760 1096 1370 2603 2740 5206 5480 10412 13015 20824 26030 52060 104120 983617 1967234 3934468 4918085 7868936 9836170 18688723 19672340 37377446 39344680 74754892 93443615 134755529 149509784 186887230 269511058 373774460 539022116 673777645 747548920 1078044232 1347555290 2560355051 2695110580 5120710102 5390221160 10241420204 12801775255 20482840408 25603550510 51207101020 102414202040