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145011434664 = 23317772346021
BaseRepresentation
bin1000011100001101011…
…0101110010010101000
3111212022002121010201110
42013003112232102220
54333440411402124
6150341202150320
713322342566665
oct2070326562250
9455262533643
10145011434664
11565541a1188
12241300523a0
131089cbc5455
147039028a6c
153b8ab86029
hex21c35ae4a8

145011434664 has 64 divisors (see below), whose sum is σ = 383911842240. Its totient is φ = 45486904320.

The previous prime is 145011434663. The next prime is 145011434719. The reversal of 145011434664 is 466434110541.

It is not an unprimeable number, because it can be changed into a prime (145011434663) 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, 3127974 + ... + 3173994.

It is an arithmetic number, because the mean of its divisors is an integer number (5998622535).

Almost surely, 2145011434664 is an apocalyptic number.

It is an amenable number.

145011434664 is an abundant number, since it is smaller than the sum of its proper divisors (238900407576).

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

145011434664 is a wasteful number, since it uses less digits than its factorization.

145011434664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53770 (or 53766 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 145011434664 in words is "one hundred forty-five billion, eleven million, four hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 7723 15446 23169 30892 46021 46338 61784 92042 92676 131291 138063 184084 185352 262582 276126 368168 393873 525164 552252 782357 787746 1050328 1104504 1564714 1575492 2347071 3129428 3150984 4694142 6258856 9388284 18776568 355420183 710840366 1066260549 1421680732 2132521098 2843361464 4265042196 6042143111 8530084392 12084286222 18126429333 24168572444 36252858666 48337144888 72505717332 145011434664