Search a number
-
+
40135484700 = 223252103432961
BaseRepresentation
bin100101011000010000…
…101110010100011100
310211121002222212120100
4211120100232110130
51124144141002300
630234334421100
72620410663633
oct453020562434
9124532885510
1040135484700
1116026486773
127941361790
133a2816b61c
141d2a59851a
15109d84a700
hex95842e51c

40135484700 has 108 divisors (see below), whose sum is σ = 127024123408. Its totient is φ = 10598860800.

The previous prime is 40135484677. The next prime is 40135484713. The reversal of 40135484700 is 748453104.

40135484700 is a `hidden beast` number, since 40 + 1 + 3 + 548 + 4 + 70 + 0 = 666.

It is a super-2 number, since 2×401354847002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123781 + ... + 309180.

Almost surely, 240135484700 is an apocalyptic number.

It is an amenable number.

40135484700 is an abundant number, since it is smaller than the sum of its proper divisors (86888638708).

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

40135484700 is a wasteful number, since it uses less digits than its factorization.

40135484700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433084 (or 433074 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40135484700 in words is "forty billion, one hundred thirty-five million, four hundred eighty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 300 309 412 450 515 618 900 927 1030 1236 1545 1854 2060 2575 3090 3708 4635 5150 6180 7725 9270 10300 15450 18540 23175 30900 46350 92700 432961 865922 1298883 1731844 2164805 2597766 3896649 4329610 5195532 6494415 7793298 8659220 10824025 12988830 15586596 19483245 21648050 25977660 32472075 38966490 43296100 44594983 64944150 77932980 89189966 97416225 129888300 133784949 178379932 194832450 222974915 267569898 389664900 401354847 445949830 535139796 668924745 802709694 891899660 1114874575 1337849490 1605419388 2006774235 2229749150 2675698980 3344623725 4013548470 4459498300 6689247450 8027096940 10033871175 13378494900 20067742350 40135484700