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131740697940 = 223517451328619
BaseRepresentation
bin111101010110001011…
…0111000010101010100
3110121001020100212021220
41322230112320111110
54124301104313230
6140304300210340
712342441312315
oct1725426702524
9417036325256
10131740697940
115096420a275
12216478399b0
13c566700507
14653a74660c
153660aa5d10
hex1eac5b8554

131740697940 has 96 divisors (see below), whose sum is σ = 390672616320. Its totient is φ = 33055850496.

The previous prime is 131740697939. The next prime is 131740697941. The reversal of 131740697940 is 49796047131.

It is an interprime number because it is at equal distance from previous prime (131740697939) and next prime (131740697941).

It is a super-2 number, since 2×1317406979402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131740697941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4588951 + ... + 4617569.

It is an arithmetic number, because the mean of its divisors is an integer number (4069506420).

Almost surely, 2131740697940 is an apocalyptic number.

131740697940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131740697940 is an abundant number, since it is smaller than the sum of its proper divisors (258931918380).

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

131740697940 is a wasteful number, since it uses less digits than its factorization.

131740697940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33161 (or 33159 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 131740697940 in words is "one hundred thirty-one billion, seven hundred forty million, six hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 4513 9026 13539 18052 22565 27078 28619 45130 54156 57238 67695 76721 85857 90260 114476 135390 143095 153442 171714 230163 270780 286190 306884 343428 383605 429285 460326 486523 572380 767210 858570 920652 973046 1150815 1459569 1534420 1717140 1946092 2301630 2432615 2919138 4603260 4865230 5838276 7297845 9730460 14595690 29191380 129157547 258315094 387472641 516630188 645787735 774945282 1291575470 1549890564 1937363205 2195678299 2583150940 3874726410 4391356598 6587034897 7749452820 8782713196 10978391495 13174069794 21956782990 26348139588 32935174485 43913565980 65870348970 131740697940