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40363425252 = 22341512693067
BaseRepresentation
bin100101100101110110…
…001111110111100100
310212011222220110020000
4211211312033313210
51130131014102002
630313120141300
72626146311433
oct454566176744
9125158813200
1040363425252
1116133112897
1279a5767830
133a634593a7
141d4c97111a
1510b387361c
hex965d8fde4

40363425252 has 120 divisors (see below), whose sum is σ = 106646379840. Its totient is φ = 13311345600.

The previous prime is 40363425239. The next prime is 40363425253. The reversal of 40363425252 is 25252436304.

40363425252 is a `hidden beast` number, since 4 + 0 + 363 + 42 + 5 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40363425253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13159023 + ... + 13162089.

It is an arithmetic number, because the mean of its divisors is an integer number (888719832).

Almost surely, 240363425252 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 40363425252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53323189920).

40363425252 is an abundant number, since it is smaller than the sum of its proper divisors (66282954588).

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

40363425252 is a wasteful number, since it uses less digits than its factorization.

40363425252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 40363425252 in words is "forty billion, three hundred sixty-three million, four hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 269 302 324 453 538 604 807 906 1076 1359 1614 1812 2421 2718 3067 3228 4077 4842 5436 6134 7263 8154 9201 9684 12231 12268 14526 16308 18402 21789 24462 27603 29052 36804 40619 43578 48924 55206 81238 82809 87156 110412 121857 162476 165618 243714 248427 331236 365571 463117 487428 496854 731142 825023 926234 993708 1096713 1389351 1462284 1650046 1852468 2193426 2475069 2778702 3290139 3300092 4168053 4386852 4950138 5557404 6580278 7425207 8336106 9900276 12504159 13160556 14850414 16672212 22275621 25008318 29700828 37512477 44551242 50016636 66826863 75024954 89102484 124578473 133653726 150049908 249156946 267307452 373735419 498313892 747470838 1121206257 1494941676 2242412514 3363618771 4484825028 6727237542 10090856313 13454475084 20181712626 40363425252