Search a number
-
+
2134015994880 = 210345711173931
BaseRepresentation
bin11111000011011101010…
…000111110110000000000
321120000021020120202220000
4133003131100332300000
5234430431043314010
64312204200520000
7310114622444220
oct37033520766000
97500236522800
102134015994880
11753038439350
122a5705780000
1312631046aa23
1475403474080
153a79d6c57c0
hex1f0dd43ec00

2134015994880 has 1760 divisors, whose sum is σ = 10097449984512. Its totient is φ = 417241497600.

The previous prime is 2134015994879. The next prime is 2134015994881. The reversal of 2134015994880 is 884995104312.

It is a happy number.

2134015994880 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 0 + 1 + 599 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2134015994879) and next prime (2134015994881).

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2134015994881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 542866515 + ... + 542870445.

Almost surely, 22134015994880 is an apocalyptic number.

2134015994880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134015994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048724992256).

2134015994880 is an abundant number, since it is smaller than the sum of its proper divisors (7963433989632).

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

2134015994880 is a wasteful number, since it uses less digits than its factorization.

2134015994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 2134015994880 in words is "two trillion, one hundred thirty-four billion, fifteen million, nine hundred ninety-four thousand, eight hundred eighty".