Search a number
-
+
121148914264 = 2377341577129
BaseRepresentation
bin111000011010100001…
…0011011101001011000
3102120201002001111120121
41300311002123221120
53441103110224024
6131353253403024
711516116531450
oct1606502335130
9376632044517
10121148914264
1147419449444
121b590639474
13b5692331b1
145c13b78d60
153240c9e8e4
hex1c3509ba58

121148914264 has 64 divisors (see below), whose sum is σ = 263261275200. Its totient is φ = 51190216704.

The previous prime is 121148914207. The next prime is 121148914267. The reversal of 121148914264 is 462419841121.

It is a self number, because there is not a number n which added to its sum of digits gives 121148914264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121148914267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16990252 + ... + 16997380.

It is an arithmetic number, because the mean of its divisors is an integer number (4113457425).

Almost surely, 2121148914264 is an apocalyptic number.

121148914264 is a gapful number since it is divisible by the number (14) 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 121148914264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131630637600).

121148914264 is an abundant number, since it is smaller than the sum of its proper divisors (142112360936).

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

121148914264 is a wasteful number, since it uses less digits than its factorization.

121148914264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372 (or 11368 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The spelling of 121148914264 in words is "one hundred twenty-one billion, one hundred forty-eight million, nine hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 4157 7129 8314 14258 16628 28516 29099 33256 49903 57032 58198 99806 116396 199612 232792 303461 399224 520417 606922 1040834 1213844 2081668 2124227 2427688 3642919 4163336 4248454 7285838 8496908 14571676 16993816 29143352 29635253 59270506 118541012 207446771 237082024 414893542 829787084 1659574168 2163373469 4326746938 8653493876 15143614283 17306987752 30287228566 60574457132 121148914264