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400042032123324 = 223118180809349313
BaseRepresentation
bin101101011110101100000101…
…1001110000100110110111100
31221110102122102001010012210010
41122331120023032010312330
5404413242040210421244
63534452434505143220
7150156040325036043
oct13275301316046674
91843378361105703
10400042032123324
11106513967071aa8
1238a4a9ab18ab10
131422aa56613c46
1470b01cda7355a
15313b028220eb9
hex16bd60b384dbc

400042032123324 has 48 divisors (see below), whose sum is σ = 934236017396640. Its totient is φ = 133232403333120.

The previous prime is 400042032123323. The next prime is 400042032123353. The reversal of 400042032123324 is 423321230240004.

It is a super-2 number, since 2×4000420321233242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400042032123291 and 400042032123300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400042032123323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145050492 + ... + 1145399804.

It is an arithmetic number, because the mean of its divisors is an integer number (19463250362430).

Almost surely, 2400042032123324 is an apocalyptic number.

It is an amenable number.

400042032123324 is an abundant number, since it is smaller than the sum of its proper divisors (534193985273316).

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

400042032123324 is a wasteful number, since it uses less digits than its factorization.

400042032123324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431310 (or 431308 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 400042032123324 its reverse (423321230240004), we get a palindrome (823363262363328).

The spelling of 400042032123324 in words is "four hundred trillion, forty-two billion, thirty-two million, one hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 1181 2362 3543 4724 7086 14172 80809 161618 242427 323236 349313 484854 698626 969708 1047939 1397252 2095878 4191756 95435429 190870858 286306287 381741716 412538653 572612574 825077306 1145225148 1237615959 1650154612 2475231918 4950463836 28227634217 56455268434 84682902651 112910536868 169365805302 338731610604 33336836010277 66673672020554 100010508030831 133347344041108 200021016061662 400042032123324