Search a number
-
+
46245147144 = 23371012725433
BaseRepresentation
bin101011000100011011…
…001111001000001000
311102100220101212211120
4223010123033020020
51224202224202034
633124505555240
73224666156610
oct530433171010
9142326355746
1046245147144
11186811a8579
128b674a5b20
13448cb81bc1
142349b91a40
151309de5c49
hexac46cf208

46245147144 has 64 divisors (see below), whose sum is σ = 133437248640. Its totient is φ = 13082073600.

The previous prime is 46245147121. The next prime is 46245147149. The reversal of 46245147144 is 44174154264.

It is a super-2 number, since 2×462451471442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46245147096 and 46245147105.

It is not an unprimeable number, because it can be changed into a prime (46245147149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1345749 + ... + 1379684.

It is an arithmetic number, because the mean of its divisors is an integer number (2084957010).

Almost surely, 246245147144 is an apocalyptic number.

It is an amenable number.

46245147144 is an abundant number, since it is smaller than the sum of its proper divisors (87192101496).

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

46245147144 is a wasteful number, since it uses less digits than its factorization.

46245147144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725550 (or 2725546 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The spelling of 46245147144 in words is "forty-six billion, two hundred forty-five million, one hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5656 8484 16968 2725433 5450866 8176299 10901732 16352598 19078031 21803464 32705196 38156062 57234093 65410392 76312124 114468186 152624248 228936372 275268733 457872744 550537466 825806199 1101074932 1651612398 1926881131 2202149864 3303224796 3853762262 5780643393 6606449592 7707524524 11561286786 15415049048 23122573572 46245147144