Search a number
-
+
740194187040 = 253457113171337
BaseRepresentation
bin10101100010101110000…
…00101111011100100000
32121202120101221122210000
422301113000233130200
544111404202441130
61324012430140000
7104322462531210
oct12612700573440
92552511848700
10740194187040
11265a0735a2a0
12bb555651600
1354a5281c979
1427b7b5c0240
15143c2b4b260
hexac5702f720

740194187040 has 1920 divisors, whose sum is σ = 3419381661696. Its totient is φ = 146313216000.

The previous prime is 740194187023. The next prime is 740194187041. The reversal of 740194187040 is 40781491047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (740194187041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2196421752 + ... + 2196422088.

Almost surely, 2740194187040 is an apocalyptic number.

740194187040 is a gapful number since it is divisible by the number (70) 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 740194187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709690830848).

740194187040 is an abundant number, since it is smaller than the sum of its proper divisors (2679187474656).

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

740194187040 is a wasteful number, since it uses less digits than its factorization.

740194187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 740194187040 in words is "seven hundred forty billion, one hundred ninety-four million, one hundred eighty-seven thousand, forty".