Search a number
-
+
131403310413440 = 2751323686681179
BaseRepresentation
bin11101111000001010110111…
…101000111011011010000000
3122020021000220122010111202212
4131320022313220323122000
5114210402434431212230
61143245503014201252
736451401346334612
oct3570126750733200
9566230818114685
10131403310413440
113896191606209a
12128a2a12953228
135842381c79180
142463d502d4db2
15102d17d166895
hex7782b7a3b680

131403310413440 has 128 divisors (see below), whose sum is σ = 353009061014400. Its totient is φ = 46408660733952.

The previous prime is 131403310413439. The next prime is 131403310413451. The reversal of 131403310413440 is 44314013304131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1314033104134402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131403310413397 and 131403310413406.

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, 343149230 + ... + 343531949.

It is an arithmetic number, because the mean of its divisors is an integer number (2757883289175).

Almost surely, 2131403310413440 is an apocalyptic number.

131403310413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403310413440 is an abundant number, since it is smaller than the sum of its proper divisors (221605750600960).

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

131403310413440 is a wasteful number, since it uses less digits than its factorization.

131403310413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686681234 (or 686681222 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131403310413440 its reverse (44314013304131), we get a palindrome (175717323717571).

The spelling of 131403310413440 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred ten million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 260 299 320 368 416 460 520 598 640 736 832 920 1040 1196 1472 1495 1664 1840 2080 2392 2944 2990 3680 4160 4784 5980 7360 8320 9568 11960 14720 19136 23920 38272 47840 95680 191360 686681179 1373362358 2746724716 3433405895 5493449432 6866811790 8926855327 10986898864 13733623580 15793667117 17853710654 21973797728 27467247160 31587334234 35707421308 43947595456 44634276635 54934494320 63174668468 71414842616 78968335585 87895190912 89268553270 109868988640 126349336936 142829685232 157936671170 178537106540 205317672521 219737977280 252698673872 285659370464 315873342340 357074213080 410635345042 439475954560 505397347744 571318740928 631746684680 714148426160 821270690084 1010794695488 1026588362605 1142637481856 1263493369360 1428296852320 1642541380168 2021589390976 2053176725210 2526986738720 2856593704640 3285082760336 4106353450420 5053973477440 5713187409280 6570165520672 8212706900840 10107946954880 13140331041344 16425413801680 26280662082688 32850827603360 65701655206720 131403310413440