Search a number
-
+
141493657680 = 24345231934919
BaseRepresentation
bin1000001111000110101…
…1011110000001010000
3111112012221021112220000
42003301223132001100
54304234334021210
6145000140050000
713136226150264
oct2036153360120
9445187245800
10141493657680
1155009532281
1223509b33900
131045c1734cb
146bc3b600a4
153a31e16ac0
hex20f1ade050

141493657680 has 400 divisors, whose sum is σ = 515556645120. Its totient is φ = 35896836096.

The previous prime is 141493657673. The next prime is 141493657681. The reversal of 141493657680 is 86756394141.

141493657680 is a `hidden beast` number, since 1 + 4 + 1 + 493 + 6 + 5 + 76 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141493657681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28762261 + ... + 28767179.

Almost surely, 2141493657680 is an apocalyptic number.

141493657680 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 141493657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257778322560).

141493657680 is an abundant number, since it is smaller than the sum of its proper divisors (374062987440).

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

141493657680 is a wasteful number, since it uses less digits than its factorization.

141493657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 141493657680 in words is "one hundred forty-one billion, four hundred ninety-three million, six hundred fifty-seven thousand, six hundred eighty".