Search a number
-
+
140140276380 = 2232513196151673
BaseRepresentation
bin1000001010000100000…
…0101110101010011100
3111101201121122122202200
42002201000232222130
54244001402321010
6144213552251500
713060543460226
oct2024100565234
9441647578680
10140140276380
1154484594935
12231b0840b90
13102a4968080
146ad6105416
1539a31cecc0
hex20a102ea9c

140140276380 has 288 divisors, whose sum is σ = 489795109440. Its totient is φ = 32144117760.

The previous prime is 140140276379. The next prime is 140140276391. The reversal of 140140276380 is 83672041041.

140140276380 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 4 + 0 + 276 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2686224 + ... + 2737896.

Almost surely, 2140140276380 is an apocalyptic number.

140140276380 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 140140276380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244897554720).

140140276380 is an abundant number, since it is smaller than the sum of its proper divisors (349654833060).

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

140140276380 is a wasteful number, since it uses less digits than its factorization.

140140276380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51781 (or 51776 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 140140276380 in words is "one hundred forty billion, one hundred forty million, two hundred seventy-six thousand, three hundred eighty".