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150504114042 = 235827374461
BaseRepresentation
bin1000110000101010111…
…1101000011101111010
3112101110220001011100000
42030022233220131322
54431213023122132
6153050213253430
713605426601332
oct2141257503572
9471426034300
10150504114042
1158912715527
1225203634276
1311266b44ca9
1473da6d80c2
153daceab87c
hex230abe877a

150504114042 has 48 divisors (see below), whose sum is σ = 338579553312. Its totient is φ = 50107241520.

The previous prime is 150504114041. The next prime is 150504114109. The reversal of 150504114042 is 240411405051.

150504114042 is a `hidden beast` number, since 1 + 5 + 0 + 504 + 114 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150504113997 and 150504114015.

It is not an unprimeable number, because it can be changed into a prime (150504114041) 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, 214692 + ... + 589152.

It is an arithmetic number, because the mean of its divisors is an integer number (7053740694).

Almost surely, 2150504114042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150504114042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169289776656).

150504114042 is an abundant number, since it is smaller than the sum of its proper divisors (188075439270).

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

150504114042 is an equidigital number, since it uses as much as digits as its factorization.

150504114042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375305 (or 375293 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 150504114042 its reverse (240411405051), we get a palindrome (390915519093).

The spelling of 150504114042 in words is "one hundred fifty billion, five hundred four million, one hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 827 1654 2481 4962 7443 14886 22329 44658 66987 133974 200961 374461 401922 748922 1123383 2246766 3370149 6740298 10110447 20220894 30331341 60662682 90994023 181988046 309679247 619358494 929037741 1858075482 2787113223 5574226446 8361339669 16722679338 25084019007 50168038014 75252057021 150504114042