Search a number
-
+
40377602316636 = 22331379364037671
BaseRepresentation
bin10010010111001001001001…
…01001001001100101011100
312021222001122112022011211000
421023210210221021211130
520243021312143113021
6221513114152230300
711335120424553234
oct1113444451114534
9167861575264730
1040377602316636
1111958054958452
12464154939b390
13196b78c873b10
149d8401b7acc4
154a04aa12eb26
hex24b924a4995c

40377602316636 has 96 divisors (see below), whose sum is σ = 114162213939200. Its totient is φ = 12266613328320.

The previous prime is 40377602316631. The next prime is 40377602316637. The reversal of 40377602316636 is 63661320677304.

40377602316636 is a `hidden beast` number, since 4 + 0 + 377 + 6 + 0 + 231 + 6 + 6 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40377602316631) 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, 181907920 + ... + 182129751.

Almost surely, 240377602316636 is an apocalyptic number.

It is an amenable number.

40377602316636 is an abundant number, since it is smaller than the sum of its proper divisors (73784611622564).

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

40377602316636 is a wasteful number, since it uses less digits than its factorization.

40377602316636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364037776 (or 364037768 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 40377602316636 in words is "forty trillion, three hundred seventy-seven billion, six hundred two million, three hundred sixteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 79 108 117 156 158 234 237 316 351 468 474 702 711 948 1027 1404 1422 2054 2133 2844 3081 4108 4266 6162 8532 9243 12324 18486 27729 36972 55458 110916 364037671 728075342 1092113013 1456150684 2184226026 3276339039 4368452052 4732489723 6552678078 9464979446 9829017117 13105356156 14197469169 18929958892 19658034234 28394938338 28758976009 39316068468 42592407507 56789876676 57517952018 85184815014 86276928027 115035904036 127777222521 170369630028 172553856054 255554445042 258830784081 345107712108 373866688117 511108890084 517661568162 747733376234 776492352243 1035323136324 1121600064351 1495466752468 1552984704486 2243200128702 3105969408972 3364800193053 4486400257404 6729600386106 10094400579159 13459200772212 20188801158318 40377602316636