Search a number
-
+
540042353333252 = 227116173938895811
BaseRepresentation
bin111101011001010100110100…
…0101000100101010000000100
32121211010112201010202220120022
41322302221220220211100010
51031241023214423131002
65152324010540554312
7221515525645433210
oct17262515050452004
92554115633686508
10540042353333252
1114708a748643aa0
125069b9ab552998
131a244a1073a493
149750291895940
154267b1aa0aba2
hex1eb2a68a25404

540042353333252 has 96 divisors (see below), whose sum is σ = 1199210782264320. Its totient is φ = 206676776016000.

The previous prime is 540042353333221. The next prime is 540042353333279. The reversal of 540042353333252 is 252333353240045.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 5563574 + ... + 33332237.

It is an arithmetic number, because the mean of its divisors is an integer number (12491778981920).

Almost surely, 2540042353333252 is an apocalyptic number.

It is an amenable number.

540042353333252 is an abundant number, since it is smaller than the sum of its proper divisors (659168428931068).

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

540042353333252 is a wasteful number, since it uses less digits than its factorization.

540042353333252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38896633 (or 38896631 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 44.

The spelling of 540042353333252 in words is "five hundred forty trillion, forty-two billion, three hundred fifty-three million, three hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 671 739 854 1342 1478 1708 2684 2956 4697 5173 8129 9394 10346 16258 18788 20692 32516 45079 56903 90158 113806 180316 227612 315553 495869 631106 991738 1262212 1983476 3471083 6942166 13884332 38895811 77791622 155583244 272270677 427853921 544541354 855707842 1089082708 1711415684 2372644471 2994977447 4745288942 5989954894 9490577884 11979909788 16608511297 26099089181 28744004329 33217022594 52198178362 57488008658 66434045188 104396356724 114976017316 182693624267 201208030303 316184047619 365387248534 402416060606 632368095238 730774497068 804832121212 1264736190476 1753384264069 2213288333333 3506768528138 4426576666666 7013537056276 8853153333332 12273689848483 19287226904759 24547379696966 38574453809518 49094759393932 77148907619036 135010588333313 270021176666626 540042353333252