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531400234140 = 223254371966991
BaseRepresentation
bin1111011101110011110…
…11000001010010011100
31212210122012021212202100
413232321323001102130
532201301424443030
61044042155125100
753251410314436
oct7567173012234
91783565255670
10531400234140
11195402640126
1286ba4a43790
133b159644089
141ba11601656
15dc5264b360
hex7bb9ec149c

531400234140 has 144 divisors (see below), whose sum is σ = 1672633138176. Its totient is φ = 136461628800.

The previous prime is 531400234139. The next prime is 531400234153. The reversal of 531400234140 is 41432004135.

It is a happy number.

531400234140 is a `hidden beast` number, since 5 + 314 + 0 + 0 + 2 + 341 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66045 + ... + 1033035.

It is an arithmetic number, because the mean of its divisors is an integer number (11615507904).

Almost surely, 2531400234140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531400234140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836316569088).

531400234140 is an abundant number, since it is smaller than the sum of its proper divisors (1141232904036).

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

531400234140 is a wasteful number, since it uses less digits than its factorization.

531400234140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967120 (or 967115 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 531400234140 its reverse (41432004135), we get a palindrome (572832238275).

The spelling of 531400234140 in words is "five hundred thirty-one billion, four hundred million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 71 86 90 129 142 172 180 213 215 258 284 355 387 426 430 516 639 645 710 774 852 860 1065 1278 1290 1420 1548 1935 2130 2556 2580 3053 3195 3870 4260 6106 6390 7740 9159 12212 12780 15265 18318 27477 30530 36636 45795 54954 61060 91590 109908 137385 183180 274770 549540 966991 1933982 2900973 3867964 4834955 5801946 8702919 9669910 11603892 14504865 17405838 19339820 29009730 34811676 41580613 43514595 58019460 68656361 83161226 87029190 124741839 137312722 166322452 174058380 205969083 207903065 249483678 274625444 343281805 374225517 411938166 415806130 498967356 617907249 623709195 686563610 748451034 823876332 831612260 1029845415 1235814498 1247418390 1373127220 1496902068 1871127585 2059690830 2471628996 2494836780 2952223523 3089536245 3742255170 4119381660 5904447046 6179072490 7484510340 8856670569 11808894092 12358144980 14761117615 17713341138 26570011707 29522235230 35426682276 44283352845 53140023414 59044470460 88566705690 106280046828 132850058535 177133411380 265700117070 531400234140