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3144946130580 = 2235311690831253
BaseRepresentation
bin101101110000111101011…
…001011001111010010100
3102010122122200222121210210
4231300331121121322110
5403011322202134310
610404433542045420
7443133461016132
oct55607531317224
912118580877723
103144946130580
111002845113a41
12429618119870
1319a74b03c087
14ac3053a2752
1556c197ca820
hex2dc3d659e94

3144946130580 has 48 divisors (see below), whose sum is σ = 9089908821504. Its totient is φ = 811599000960.

The previous prime is 3144946130567. The next prime is 3144946130581. The reversal of 3144946130580 is 850316494413.

It is a super-3 number, since 3×31449461305803 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144946130581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845413767 + ... + 845417486.

It is an arithmetic number, because the mean of its divisors is an integer number (189373100448).

Almost surely, 23144946130580 is an apocalyptic number.

3144946130580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144946130580 is an abundant number, since it is smaller than the sum of its proper divisors (5944962690924).

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

3144946130580 is a wasteful number, since it uses less digits than its factorization.

3144946130580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690831296 (or 1690831294 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 3144946130580 in words is "three trillion, one hundred forty-four billion, nine hundred forty-six million, one hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1690831253 3381662506 5072493759 6763325012 8454156265 10144987518 16908312530 20289975036 25362468795 33816625060 50724937590 52415768843 101449875180 104831537686 157247306529 209663075372 262078844215 314494613058 524157688430 628989226116 786236532645 1048315376860 1572473065290 3144946130580