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141379486098624 = 263529313474453
BaseRepresentation
bin100000001001010101111010…
…000011000010010011000000
3200112120202011110201011200000
4200021111322003002103000
5122012330141420123444
61220404501141400000
741531221314456354
oct4011257203022300
9615522143634600
10141379486098624
1141058781168834
1213a3435ba09000
1360b704a32b297
1426cab3727b464
15115291171d469
hex80957a0c24c0

141379486098624 has 168 divisors, whose sum is σ = 434738911785360. Its totient is φ = 45501443656704.

The previous prime is 141379486098601. The next prime is 141379486098629. The reversal of 141379486098624 is 426890684973141.

141379486098624 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 7 + 9 + 4 + 8 + 609 + 8 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×1413794860986242 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (141379486098629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156286219 + ... + 157188234.

It is an arithmetic number, because the mean of its divisors is an integer number (2587731617770).

Almost surely, 2141379486098624 is an apocalyptic number.

It is an amenable number.

141379486098624 is an abundant number, since it is smaller than the sum of its proper divisors (293359425686736).

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

141379486098624 is an equidigital number, since it uses as much as digits as its factorization.

141379486098624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313474509 (or 313474487 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 141379486098624 in words is "one hundred forty-one trillion, three hundred seventy-nine billion, four hundred eighty-six million, ninety-eight thousand, six hundred twenty-four".