Search a number
-
+
140102730768 = 2437112131731503
BaseRepresentation
bin1000001001111011000…
…1100000010000010000
3111101122000000010212110
42002132301200100100
54243412244341033
6144210131425320
713056606363630
oct2023661402020
9441560003773
10140102730768
1154465380300
12231a0155240
1310299c50730
146ad11306c0
15399ec65363
hex209ec60410

140102730768 has 960 divisors, whose sum is σ = 536221679616. Its totient is φ = 30534451200.

The previous prime is 140102730743. The next prime is 140102730769. The reversal of 140102730768 is 867037201041.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (140102730769) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278534005 + ... + 278534507.

Almost surely, 2140102730768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140102730768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268110839808).

140102730768 is an abundant number, since it is smaller than the sum of its proper divisors (396118948848).

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

140102730768 is a wasteful number, since it uses less digits than its factorization.

140102730768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 140102730768 in words is "one hundred forty billion, one hundred two million, seven hundred thirty thousand, seven hundred sixty-eight".