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131455010640 = 24354727143003
BaseRepresentation
bin111101001101101010…
…1000100011101010000
3110120022022210102222210
41322123111010131100
54123204440320030
6140220053032120
712332402103612
oct1723325043520
9416268712883
10131455010640
1150827a21168
1221588025640
13c51c474285
14651081adb2
153645972bb0
hex1e9b544750

131455010640 has 160 divisors (see below), whose sum is σ = 417726406656. Its totient is φ = 34181429760.

The previous prime is 131455010591. The next prime is 131455010651. The reversal of 131455010640 is 46010554131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131455010598 and 131455010607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035379 + ... + 3078381.

Almost surely, 2131455010640 is an apocalyptic number.

131455010640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131455010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208863203328).

131455010640 is an abundant number, since it is smaller than the sum of its proper divisors (286271396016).

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

131455010640 is a wasteful number, since it uses less digits than its factorization.

131455010640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43337 (or 43331 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 131455010640 its reverse (46010554131), we get a palindrome (177465564771).

The spelling of 131455010640 in words is "one hundred thirty-one billion, four hundred fifty-five million, ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 271 282 376 470 542 564 705 752 813 940 1084 1128 1355 1410 1626 1880 2168 2256 2710 2820 3252 3760 4065 4336 5420 5640 6504 8130 10840 11280 12737 13008 16260 21680 25474 32520 38211 43003 50948 63685 65040 76422 86006 101896 127370 129009 152844 172012 191055 203792 215015 254740 258018 305688 344024 382110 430030 509480 516036 611376 645045 688048 764220 860060 1018960 1032072 1290090 1528440 1720120 2021141 2064144 2580180 3056880 3440240 4042282 5160360 6063423 8084564 10105705 10320720 11653813 12126846 16169128 20211410 23307626 24253692 30317115 32338256 34961439 40422820 46615252 48507384 58269065 60634230 69922878 80845640 93230504 97014768 116538130 121268460 139845756 161691280 174807195 186461008 233076260 242536920 279691512 349614390 466152520 485073840 547729211 559383024 699228780 932305040 1095458422 1398457560 1643187633 2190916844 2738646055 2796915120 3286375266 4381833688 5477292110 6572750532 8215938165 8763667376 10954584220 13145501064 16431876330 21909168440 26291002128 32863752660 43818336880 65727505320 131455010640