Search a number
-
+
40772301885 = 3357371166089
BaseRepresentation
bin100101111110001101…
…111111010000111101
310220020111021112112000
4211332031333100331
51132000202130020
630421443532513
72642242563540
oct457615772075
9126214245460
1040772301885
11163229a0967
127a9a68a139
133aca088123
141d8ada6857
1510d96dc090
hex97e37f43d

40772301885 has 64 divisors (see below), whose sum is σ = 85077926400. Its totient is φ = 18135000576.

The previous prime is 40772301877. The next prime is 40772301887. The reversal of 40772301885 is 58810327704.

40772301885 is a `hidden beast` number, since 407 + 7 + 230 + 1 + 8 + 8 + 5 = 666.

It is not a de Polignac number, because 40772301885 - 23 = 40772301877 is a prime.

It is a super-3 number, since 3×407723018853 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40772301885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40772301887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548080 + ... + 618009.

It is an arithmetic number, because the mean of its divisors is an integer number (1329342600).

Almost surely, 240772301885 is an apocalyptic number.

40772301885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40772301885 is an abundant number, since it is smaller than the sum of its proper divisors (44305624515).

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

40772301885 is a wasteful number, since it uses less digits than its factorization.

40772301885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166147 (or 1166141 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 40772301885 in words is "forty billion, seven hundred seventy-two million, three hundred one thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 105 111 135 185 189 259 315 333 555 777 945 999 1295 1665 2331 3885 4995 6993 11655 34965 1166089 3498267 5830445 8162623 10494801 17491335 24487869 31484403 40813115 43145293 52474005 73463607 122439345 129435879 157422015 215726465 220390821 302017051 367318035 388307637 647179395 906051153 1101954105 1164922911 1510085255 1941538185 2718153459 4530255765 5824614555 8154460377 13590767295 40772301885