Search a number
-
+
40157194392 = 233572950999
BaseRepresentation
bin100101011001100011…
…100010100010011000
310211122121211211200000
4211121203202202120
51124220220210032
630240432013000
72621063343330
oct453143424230
9124577754600
1040157194392
1116037764567
127948691160
133a2c7cccb3
141d2d40a0c0
1510a06d7e7c
hex9598e2898

40157194392 has 96 divisors (see below), whose sum is σ = 128899680000. Its totient is φ = 11473480224.

The previous prime is 40157194373. The next prime is 40157194397. The reversal of 40157194392 is 29349175104.

40157194392 is a `hidden beast` number, since 40 + 1 + 571 + 9 + 4 + 39 + 2 = 666.

It is a super-2 number, since 2×401571943922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157194397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461892 + ... + 1489107.

It is an arithmetic number, because the mean of its divisors is an integer number (1342705000).

Almost surely, 240157194392 is an apocalyptic number.

40157194392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40157194392 is an abundant number, since it is smaller than the sum of its proper divisors (88742485608).

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

40157194392 is a wasteful number, since it uses less digits than its factorization.

40157194392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951027 (or 2951011 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40157194392 in words is "forty billion, one hundred fifty-seven million, one hundred ninety-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 2950999 5901998 8852997 11803996 17705994 20656993 23607992 26558991 35411988 41313986 53117982 61970979 70823976 79676973 82627972 106235964 123941958 159353946 165255944 185912937 212471928 239030919 247883916 318707892 371825874 478061838 495767832 557738811 637415784 717092757 743651748 956123676 1115477622 1434185514 1487303496 1673216433 1912247352 2230955244 2868371028 3346432866 4461910488 5019649299 5736742056 6692865732 10039298598 13385731464 20078597196 40157194392