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235042675344 = 2436674
BaseRepresentation
bin1101101011100110100…
…0101001101010010000
3211110200112021001000000
43122321220221222100
512322331411102334
6255551020130000
722660401530151
oct3327150515220
9743615231000
10235042675344
119075450a914
1239677396900
131921a335329
14b53a139928
1561a9b34299
hex36b9a29a90

235042675344 has 175 divisors, whose sum is σ = 693125590403. Its totient is φ = 77178191904.

The previous prime is 235042675333. The next prime is 235042675349. The reversal of 235042675344 is 443576240532.

The square root of 235042675344 is 484812.

It is a perfect power (a square), and thus also a powerful number.

235042675344 is a `hidden beast` number, since 2 + 3 + 50 + 4 + 2 + 67 + 534 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 235042675344.

It is not an unprimeable number, because it can be changed into a prime (235042675349) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 3508099599 + ... + 3508099665.

Almost surely, 2235042675344 is an apocalyptic number.

235042675344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

235042675344 is the 484812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235042675344

235042675344 is an abundant number, since it is smaller than the sum of its proper divisors (458082915059).

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

235042675344 is an frugal number, since it uses more digits than its factorization.

235042675344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 235042675344 in words is "two hundred thirty-five billion, forty-two million, six hundred seventy-five thousand, three hundred forty-four".