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154077439040 = 265768784571
BaseRepresentation
bin1000111101111110111…
…0110010010001000000
3112201200220212212201022
42033133232302101000
510011022311022130
6154440542125012
714063116423430
oct2173756622100
9481626785638
10154077439040
115a386774488
1225a40280768
13116b6245695
1476591022c0
15401ba4e7e5
hex23dfbb2440

154077439040 has 56 divisors (see below), whose sum is σ = 419310750912. Its totient is φ = 52826549760.

The previous prime is 154077439037. The next prime is 154077439049. The reversal of 154077439040 is 40934770451.

It is a happy number.

154077439040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1540774390402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 154077438982 and 154077439000.

It is not an unprimeable number, because it can be changed into a prime (154077439049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34390046 + ... + 34394525.

Almost surely, 2154077439040 is an apocalyptic number.

154077439040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154077439040 is an abundant number, since it is smaller than the sum of its proper divisors (265233311872).

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

154077439040 is an equidigital number, since it uses as much as digits as its factorization.

154077439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68784595 (or 68784585 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 154077439040 in words is "one hundred fifty-four billion, seventy-seven million, four hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 68784571 137569142 275138284 343922855 481491997 550276568 687845710 962983994 1100553136 1375691420 1925967988 2201106272 2407459985 2751382840 3851935976 4402212544 4814919970 5502765680 7703871952 9629839940 11005531360 15407743904 19259679880 22011062720 30815487808 38519359760 77038719520 154077439040