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142179196674240 = 26335119191627849
BaseRepresentation
bin100000010100111110101100…
…100000110010000011000000
3200122102012100200020122001000
4200110332230200302003000
5122113430443322033430
61222220115442412000
741643052015266465
oct4024765440620300
9618365320218030
10142179196674240
1141336949a11720
1213b43345361000
13614459634070b
14271771cdc366c
1511686193dee60
hex814fac8320c0

142179196674240 has 448 divisors, whose sum is σ = 547770222720000. Its totient is φ = 34430157250560.

The previous prime is 142179196674233. The next prime is 142179196674323. The reversal of 142179196674240 is 42476691971241.

It is a happy number.

142179196674240 is a `hidden beast` number, since 1 + 4 + 2 + 17 + 9 + 196 + 6 + 7 + 424 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86527836 + ... + 88155684.

It is an arithmetic number, because the mean of its divisors is an integer number (1222701390000).

Almost surely, 2142179196674240 is an apocalyptic number.

142179196674240 is a gapful number since it is divisible by the number (10) 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 142179196674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273885111360000).

142179196674240 is an abundant number, since it is smaller than the sum of its proper divisors (405591026045760).

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

142179196674240 is a wasteful number, since it uses less digits than its factorization.

142179196674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628805 (or 1628789 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 142179196674240 in words is "one hundred forty-two trillion, one hundred seventy-nine billion, one hundred ninety-six million, six hundred seventy-four thousand, two hundred forty".