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156426454440 = 23325434517929
BaseRepresentation
bin1001000110101110111…
…1100100010110101000
3112221202121222020001200
42101223233210112220
510030330133020230
6155510013444200
714205251632014
oct2215357442650
9487677866050
10156426454440
1160381723523
1226396aa0660
131199babca19
1477dd08d544
154107da4160
hex246bbe45a8

156426454440 has 48 divisors (see below), whose sum is σ = 508385978100. Its totient is φ = 41713721088.

The previous prime is 156426454421. The next prime is 156426454441. The reversal of 156426454440 is 44454624651.

156426454440 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 2 + 64 + 544 + 40 = 666.

156426454440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 154651854564 + 1774599876 = 393258^2 + 42126^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (156426454441) 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 11 ways as a sum of consecutive naturals, for example, 217258605 + ... + 217259324.

Almost surely, 2156426454440 is an apocalyptic number.

156426454440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156426454440 is an abundant number, since it is smaller than the sum of its proper divisors (351959523660).

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

156426454440 is a wasteful number, since it uses less digits than its factorization.

156426454440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434517946 (or 434517939 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 156426454440 in words is "one hundred fifty-six billion, four hundred twenty-six million, four hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 434517929 869035858 1303553787 1738071716 2172589645 2607107574 3476143432 3910661361 4345179290 5214215148 6517768935 7821322722 8690358580 10428430296 13035537870 15642645444 17380717160 19553306805 26071075740 31285290888 39106613610 52142151480 78213227220 156426454440