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64140430128 = 24319233301843
BaseRepresentation
bin111011101111000100…
…010100101100110000
320010120001112110010020
4323233010110230300
52022324422231003
645244332003440
74430313442365
oct735704245460
9203501473106
1064140430128
1125224667545
1210520600580
1360824a9948
14316672046c
151a05eb6d53
hexeef114b30

64140430128 has 80 divisors (see below), whose sum is σ = 175166110080. Its totient is φ = 20167875072.

The previous prime is 64140430127. The next prime is 64140430153. The reversal of 64140430128 is 82103404146.

64140430128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641404301282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64140430127) 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, 61575 + ... + 363417.

It is an arithmetic number, because the mean of its divisors is an integer number (2189576376).

Almost surely, 264140430128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64140430128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87583055040).

64140430128 is an abundant number, since it is smaller than the sum of its proper divisors (111025679952).

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

64140430128 is a wasteful number, since it uses less digits than its factorization.

64140430128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302106 (or 302100 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 64140430128 in words is "sixty-four billion, one hundred forty million, four hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 233 304 456 466 699 912 932 1398 1864 2796 3728 4427 5592 8854 11184 13281 17708 26562 35416 53124 70832 106248 212496 301843 603686 905529 1207372 1811058 2414744 3622116 4829488 5735017 7244232 11470034 14488464 17205051 22940068 34410102 45880136 68820204 70329419 91760272 137640408 140658838 210988257 275280816 281317676 421976514 562635352 843953028 1125270704 1336258961 1687906056 2672517922 3375812112 4008776883 5345035844 8017553766 10690071688 16035107532 21380143376 32070215064 64140430128