Search a number
-
+
120036641136 = 2434783641057
BaseRepresentation
bin110111111001010111…
…1011100100101110000
3102110211120010011200120
41233302233130211300
53431313340004021
6131051041450240
711446422420606
oct1576257344560
9373746104616
10120036641136
11469a8611155
121b320040980
13b41c976109
145b4a163876
1531c82e22c6
hex1bf2bdc970

120036641136 has 80 divisors (see below), whose sum is σ = 320508486144. Its totient is φ = 38689011712.

The previous prime is 120036641083. The next prime is 120036641143. The reversal of 120036641136 is 631146630021.

It is a junction number, because it is equal to n+sod(n) for n = 120036641097 and 120036641106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133281 + ... + 507776.

Almost surely, 2120036641136 is an apocalyptic number.

120036641136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120036641136 is an abundant number, since it is smaller than the sum of its proper divisors (200471845008).

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

120036641136 is a wasteful number, since it uses less digits than its factorization.

120036641136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641198 (or 641192 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 120036641136 in words is "one hundred twenty billion, thirty-six million, six hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 83 94 141 166 188 249 282 332 376 498 564 664 752 996 1128 1328 1992 2256 3901 3984 7802 11703 15604 23406 31208 46812 62416 93624 187248 641057 1282114 1923171 2564228 3846342 5128456 7692684 10256912 15385368 30129679 30770736 53207731 60259358 90389037 106415462 120518716 159623193 180778074 212830924 241037432 319246386 361556148 425661848 482074864 638492772 723112296 851323696 1276985544 1446224592 2500763357 2553971088 5001526714 7502290071 10003053428 15004580142 20006106856 30009160284 40012213712 60018320568 120036641136