Search a number
-
+
40245016176 = 24322312151273
BaseRepresentation
bin100101011110110010…
…100011011001110000
310211212202002122111200
4211132302203121300
51124410211004201
630253250211200
72623210664451
oct453662433160
9124782078450
1040245016176
1116082298352
127971b83b00
133a44a6b651
141d3ad4b128
1510a8284386
hex95eca3670

40245016176 has 60 divisors (see below), whose sum is σ = 117527122128. Its totient is φ = 12831743232.

The previous prime is 40245016139. The next prime is 40245016183. The reversal of 40245016176 is 67161054204.

40245016176 is a `hidden beast` number, since 4 + 0 + 24 + 501 + 61 + 76 = 666.

40245016176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402450161762 (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 self number, because there is not a number n which added to its sum of digits gives 40245016176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6072325 + ... + 6078948.

Almost surely, 240245016176 is an apocalyptic number.

40245016176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40245016176 is an abundant number, since it is smaller than the sum of its proper divisors (77282105952).

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

40245016176 is a wasteful number, since it uses less digits than its factorization.

40245016176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12151310 (or 12151301 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40245016176 in words is "forty billion, two hundred forty-five million, sixteen thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 12151273 24302546 36453819 48605092 72907638 97210184 109361457 145815276 194420368 218722914 279479279 291630552 437445828 558958558 583261104 838437837 874891656 1117917116 1676875674 1749783312 2235834232 2515313511 3353751348 4471668464 5030627022 6707502696 10061254044 13415005392 20122508088 40245016176