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434374044040 = 23553204893417
BaseRepresentation
bin1100101001000101011…
…01011110100110001000
31112112012021101201210001
412110202231132212020
524104044223402130
6531314303132344
743245123311566
oct6244255364610
91475167351701
10434374044040
11158242907462
1270226ba40b4
1331c65c79081
14170494caa36
15b4745306ca
hex6522b5e988

434374044040 has 32 divisors (see below), whose sum is σ = 995782011480. Its totient is φ = 170471322112.

The previous prime is 434374044031. The next prime is 434374044043. The reversal of 434374044040 is 40440473434.

It can be written as a sum of positive squares in 4 ways, for example, as 263088978084 + 171285065956 = 512922^2 + 413866^2 .

It is not an unprimeable number, because it can be changed into a prime (434374044043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102444589 + ... + 102448828.

Almost surely, 2434374044040 is an apocalyptic number.

434374044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434374044040 is an abundant number, since it is smaller than the sum of its proper divisors (561407967440).

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

434374044040 is a wasteful number, since it uses less digits than its factorization.

434374044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204893481 (or 204893477 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 37.

The spelling of 434374044040 in words is "four hundred thirty-four billion, three hundred seventy-four million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 204893417 409786834 819573668 1024467085 1639147336 2048934170 4097868340 8195736680 10859351101 21718702202 43437404404 54296755505 86874808808 108593511010 217187022020 434374044040