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145668112460 = 225135051110921
BaseRepresentation
bin1000011110101001111…
…1110000000001001100
3111220222212020211022022
42013222133300001030
54341312014044320
6150530301105312
713344535345343
oct2075237600114
9456885224268
10145668112460
1156860940a02
1224293b58238
1310975c76ab0
14709c326b5a
153bc864c325
hex21ea7f004c

145668112460 has 48 divisors (see below), whose sum is σ = 329502231072. Its totient is φ = 53774016000.

The previous prime is 145668112441. The next prime is 145668112463. The reversal of 145668112460 is 64211866541.

It is a happy number.

It is a super-3 number, since 3×1456681124603 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (145668112463) 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, 1257800 + ... + 1368720.

It is an arithmetic number, because the mean of its divisors is an integer number (6864629814).

Almost surely, 2145668112460 is an apocalyptic number.

145668112460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145668112460 is an abundant number, since it is smaller than the sum of its proper divisors (183834118612).

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

145668112460 is a wasteful number, since it uses less digits than its factorization.

145668112460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115994 (or 115992 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 145668112460 in words is "one hundred forty-five billion, six hundred sixty-eight million, one hundred twelve thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5051 10102 20204 25255 50510 65663 101020 110921 131326 221842 262652 328315 443684 554605 656630 1109210 1313260 1441973 2218420 2883946 5767892 7209865 14419730 28839460 560261971 1120523942 2241047884 2801309855 5602619710 7283405623 11205239420 14566811246 29133622492 36417028115 72834056230 145668112460