Search a number
-
+
136009343904 = 2537229997019
BaseRepresentation
bin111111010101011001…
…0011110001110100000
3111000001201120112201120
41332222302132032200
54212021343001104
6142252024132240
712553303230300
oct1765262361640
9430051515646
10136009343904
1152754802155
1222439307080
13ca96b92625
14682362b600
1538106e4cd9
hex1faac9e3a0

136009343904 has 144 divisors (see below), whose sum is σ = 429635858400. Its totient is φ = 37519781376.

The previous prime is 136009343893. The next prime is 136009343941. The reversal of 136009343904 is 409343900631.

It is a super-2 number, since 2×1360093439042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362094 + ... + 634925.

It is an arithmetic number, because the mean of its divisors is an integer number (2983582350).

Almost surely, 2136009343904 is an apocalyptic number.

136009343904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136009343904 is an abundant number, since it is smaller than the sum of its proper divisors (293626514496).

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

136009343904 is a wasteful number, since it uses less digits than its factorization.

136009343904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997075 (or 997060 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 136009343904 in words is "one hundred thirty-six billion, nine million, three hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 406 464 588 609 672 696 784 812 928 1176 1218 1392 1421 1568 1624 2352 2436 2784 2842 3248 4263 4704 4872 5684 6496 8526 9744 11368 17052 19488 22736 34104 45472 68208 136416 997019 1994038 2991057 3988076 5982114 6979133 7976152 11964228 13958266 15952304 20937399 23928456 27916532 28913551 31904608 41874798 47856912 48853931 55833064 57827102 83749596 86740653 95713824 97707862 111666128 115654204 146561793 167499192 173481306 195415724 202394857 223332256 231308408 293123586 334998384 346962612 390831448 404789714 462616816 586247172 607184571 669996768 693925224 781662896 809579428 925233632 1172494344 1214369142 1387850448 1416763999 1563325792 1619158856 2344988688 2428738284 2775700896 2833527998 3238317712 4250291997 4689977376 4857476568 5667055996 6476635424 8500583994 9714953136 11334111992 17001167988 19429906272 22668223984 34002335976 45336447968 68004671952 136009343904