Search a number
-
+
40131775436060 = 225711127205193657
BaseRepresentation
bin10010001111111111010000…
…01110000001010100011100
312021002120010102122202100102
421013333220032001110130
520230004334002423220
6221204141053120232
711311265543550350
oct1107775016012434
9167076112582312
1040131775436060
1111872877000630
124601982489078
13195154423b779
149ca5616a5460
15498dbd885775
hex247fe838151c

40131775436060 has 96 divisors (see below), whose sum is σ = 105899626119168. Its totient is φ = 12410112314880.

The previous prime is 40131775436057. The next prime is 40131775436063. The reversal of 40131775436060 is 6063457713104.

It is an interprime number because it is at equal distance from previous prime (40131775436057) and next prime (40131775436063).

It is a super-2 number, since 2×401317754360602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40131775435996 and 40131775436014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131775436063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102401249 + ... + 102792408.

It is an arithmetic number, because the mean of its divisors is an integer number (1103121105408).

Almost surely, 240131775436060 is an apocalyptic number.

It is an amenable number.

40131775436060 is an abundant number, since it is smaller than the sum of its proper divisors (65767850683108).

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

40131775436060 is a wasteful number, since it uses less digits than its factorization.

40131775436060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205193811 (or 205193809 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 40131775436060 in words is "forty trillion, one hundred thirty-one billion, seven hundred seventy-five million, four hundred thirty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 127 140 154 220 254 308 385 508 635 770 889 1270 1397 1540 1778 2540 2794 3556 4445 5588 6985 8890 9779 13970 17780 19558 27940 39116 48895 97790 195580 205193657 410387314 820774628 1025968285 1436355599 2051936570 2257130227 2872711198 4103873140 4514260454 5745422396 7181777995 9028520908 11285651135 14363555990 15799911589 22571302270 26059594439 28727111980 31599823178 45142604540 52119188878 63199646356 78999557945 104238377756 130297972195 157999115890 182417161073 260595944390 286655538829 315998231780 364834322146 521191888780 573311077658 729668644292 912085805365 1146622155316 1433277694145 1824171610730 2006588771803 2866555388290 3648343221460 4013177543606 5733110776580 8026355087212 10032943859015 20065887718030 40131775436060