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540404267052324 = 2232916315716064231
BaseRepresentation
bin111101011011111101010110…
…0010111110110110100100100
32121212102010212112021202002210
41322313322230113312310210
51031312440414331133244
65153202143144003420
7221553630341332263
oct17267725427666444
92555363775252083
10540404267052324
1114720a187493864
1250739b73760570
131a26cb996213cc
1497639c56c65da
15427224d93a4b9
hex1eb7eac5f6d24

540404267052324 has 96 divisors (see below), whose sum is σ = 1313262319703040. Its totient is φ = 172746140918400.

The previous prime is 540404267052319. The next prime is 540404267052337. The reversal of 540404267052324 is 423250762404045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86081289 + ... + 92145519.

It is an arithmetic number, because the mean of its divisors is an integer number (13679815830240).

Almost surely, 2540404267052324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540404267052324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656631159851520).

540404267052324 is an abundant number, since it is smaller than the sum of its proper divisors (772858052650716).

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

540404267052324 is a wasteful number, since it uses less digits than its factorization.

540404267052324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066001 (or 6065999 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 48.

The spelling of 540404267052324 in words is "five hundred forty trillion, four hundred four billion, two hundred sixty-seven million, fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 163 174 326 348 489 652 978 1571 1956 3142 4713 4727 6284 9426 9454 14181 18852 18908 28362 45559 56724 91118 136677 182236 256073 273354 512146 546708 768219 1024292 1536438 3072876 6064231 7426117 12128462 14852234 18192693 22278351 24256924 29704468 36385386 44556702 72770772 89113404 175862699 351725398 527588097 703450796 988469653 1055176194 1976939306 2110352388 2965408959 3953878612 5930817918 9526906901 11861635836 19053813802 28580720703 28665619937 38107627604 57161441406 57331239874 85996859811 114322882812 114662479748 171993719622 276280300129 343987439244 552560600258 828840900387 1105121200516 1552885824863 1657681800774 3105771649726 3315363601548 4658657474589 6211543299452 9317314949178 18634629898356 45033688921027 90067377842054 135101066763081 180134755684108 270202133526162 540404267052324