Search a number
-
+
131202000434040 = 23352347536956679
BaseRepresentation
bin11101110101001111011000…
…101000010011001101111000
3122012112210021222212222100220
4131311033120220103031320
5114144103144102342130
61143013211130500040
736431013610624644
oct3565173050231570
9565483258788326
10131202000434040
11388945018a7a98
121286b9b0594620
1358293ac439973
1424582d4255c24
151027ce9bd0410
hex7753d8a13378

131202000434040 has 64 divisors (see below), whose sum is σ = 410719305715200. Its totient is φ = 33466017501312.

The previous prime is 131202000433951. The next prime is 131202000434077. The reversal of 131202000434040 is 40434000202131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131202000434040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23768475580 + ... + 23768481099.

It is an arithmetic number, because the mean of its divisors is an integer number (6417489151800).

Almost surely, 2131202000434040 is an apocalyptic number.

131202000434040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202000434040 is an abundant number, since it is smaller than the sum of its proper divisors (279517305281160).

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

131202000434040 is a wasteful number, since it uses less digits than its factorization.

131202000434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47536956716 (or 47536956712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 131202000434040 its reverse (40434000202131), we get a palindrome (171636000636171).

The spelling of 131202000434040 in words is "one hundred thirty-one trillion, two hundred two billion, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 47536956679 95073913358 142610870037 190147826716 237684783395 285221740074 380295653432 475369566790 570443480148 713054350185 950739133580 1093350003617 1140886960296 1426108700370 1901478267160 2186700007234 2852217400740 3280050010851 4373400014468 5466750018085 5704434801480 6560100021702 8746800028936 10933500036170 13120200043404 16400250054255 21867000072340 26240400086808 32800500108510 43734000144680 65601000217020 131202000434040