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4094658040 = 2351171131071
BaseRepresentation
bin1111010000001111…
…1000010111111000
3101120100211011212111
43310003320113320
531341213024130
61514150422104
7203320006354
oct36403702770
911510734774
104094658040
111811367210
12963361934
135034148a5
142abb54464
1518e72202a
hexf40f85f8

4094658040 has 64 divisors (see below), whose sum is σ = 10192158720. Its totient is φ = 1467984000.

The previous prime is 4094658037. The next prime is 4094658077. The reversal of 4094658040 is 408564904.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4094657984 and 4094658002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34296 + ... + 96775.

It is an arithmetic number, because the mean of its divisors is an integer number (159252480).

Almost surely, 24094658040 is an apocalyptic number.

4094658040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4094658040 is an abundant number, since it is smaller than the sum of its proper divisors (6097500680).

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

4094658040 is a wasteful number, since it uses less digits than its factorization.

4094658040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131164 (or 131160 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 4094658040 is about 63989.5150786439. The cubic root of 4094658040 is about 1599.8252465390.

The spelling of 4094658040 in words is "four billion, ninety-four million, six hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7810 15620 31240 131071 262142 524284 655355 1048568 1310710 1441781 2621420 2883562 5242840 5767124 7208905 9306041 11534248 14417810 18612082 28835620 37224164 46530205 57671240 74448328 93060410 102366451 186120820 204732902 372241640 409465804 511832255 818931608 1023664510 2047329020 4094658040