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61406440020 = 22325683499483
BaseRepresentation
bin111001001100000110…
…111110101001010100
312212111112001100202100
4321030012332221110
52001230022040040
644113145042100
74302465061632
oct711406765124
9185445040670
1061406440020
1124051375292
12ba98a86330
135a37c52013
142d875a0352
1518e5e6ab30
hexe4c1bea54

61406440020 has 72 divisors (see below), whose sum is σ = 186539292576. Its totient is φ = 16351042752.

The previous prime is 61406440003. The next prime is 61406440031. The reversal of 61406440020 is 2004460416.

61406440020 is a `hidden beast` number, since 6 + 14 + 0 + 644 + 0 + 0 + 2 + 0 = 666.

61406440020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126802 + ... + 372681.

It is an arithmetic number, because the mean of its divisors is an integer number (2590823508).

Almost surely, 261406440020 is an apocalyptic number.

61406440020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61406440020 is an abundant number, since it is smaller than the sum of its proper divisors (125132852556).

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

61406440020 is a wasteful number, since it uses less digits than its factorization.

61406440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500181 (or 500176 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 61406440020 in words is "sixty-one billion, four hundred six million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 683 1366 2049 2732 3415 4098 6147 6830 8196 10245 12294 13660 20490 24588 30735 40980 61470 122940 499483 998966 1498449 1997932 2497415 2996898 4495347 4994830 5993796 7492245 8990694 9989660 14984490 17981388 22476735 29968980 44953470 89906940 341146889 682293778 1023440667 1364587556 1705734445 2046881334 3070322001 3411468890 4093762668 5117203335 6140644002 6822937780 10234406670 12281288004 15351610005 20468813340 30703220010 61406440020