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73340134128 = 2433226774887
BaseRepresentation
bin100010001001101101…
…0011010001011110000
321000022012101211112000
41010103122122023300
52200200033243003
653405245334000
75204302566012
oct1042332321360
9230265354460
1073340134128
11291156592a8
1212269567300
136bba43c591
14379a47c1b2
151d939901a3
hex111369a2f0

73340134128 has 80 divisors (see below), whose sum is σ = 210609020160. Its totient is φ = 24435601344.

The previous prime is 73340134123. The next prime is 73340134157. The reversal of 73340134128 is 82143104337.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73340134092 and 73340134101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73340134123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941901 + ... + 1016787.

It is an arithmetic number, because the mean of its divisors is an integer number (2632612752).

Almost surely, 273340134128 is an apocalyptic number.

It is an amenable number.

73340134128 is an abundant number, since it is smaller than the sum of its proper divisors (137268886032).

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

73340134128 is a wasteful number, since it uses less digits than its factorization.

73340134128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77171 (or 77159 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 73340134128 in words is "seventy-three billion, three hundred forty million, one hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2267 4534 6801 9068 13602 18136 20403 27204 36272 40806 54408 61209 74887 81612 108816 122418 149774 163224 224661 244836 299548 326448 449322 489672 599096 673983 898644 979344 1198192 1347966 1797288 2021949 2695932 3594576 4043898 5391864 8087796 10783728 16175592 32351184 169768829 339537658 509306487 679075316 1018612974 1358150632 1527919461 2037225948 2716301264 3055838922 4074451896 4583758383 6111677844 8148903792 9167516766 12223355688 18335033532 24446711376 36670067064 73340134128