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152240427042 = 231129111771209
BaseRepresentation
bin1000110111001000111…
…1001001000000100010
3112112221220012222222220
42031302033021000202
54443242022131132
6153534400411510
713666442164344
oct2156217110042
9475856188886
10152240427042
1159623830150
1225609016b96
1311482796b32
147523153294
153e60634a2c
hex23723c9022

152240427042 has 64 divisors (see below), whose sum is σ = 343927209600. Its totient is φ = 44502151680.

The previous prime is 152240426983. The next prime is 152240427043. The reversal of 152240427042 is 240724042251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 152240426994 and 152240427012.

It is not an unprimeable number, because it can be changed into a prime (152240427043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102334 + ... + 2173542.

It is an arithmetic number, because the mean of its divisors is an integer number (5373862650).

Almost surely, 2152240427042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152240427042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171963604800).

152240427042 is an abundant number, since it is smaller than the sum of its proper divisors (191686782558).

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

152240427042 is a wasteful number, since it uses less digits than its factorization.

152240427042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72371.

The product of its (nonzero) digits is 35840, while the sum is 33.

Adding to 152240427042 its reverse (240724042251), we get a palindrome (392964469293).

The spelling of 152240427042 in words is "one hundred fifty-two billion, two hundred forty million, four hundred twenty-seven thousand, forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1117 1914 2234 3351 6702 12287 24574 32393 36861 64786 71209 73722 97179 142418 194358 213627 356323 427254 712646 783299 1068969 1566598 2065061 2137938 2349897 4130122 4699794 6195183 12390366 22715671 45431342 68147013 79540453 136294026 159080906 238621359 477242718 874944983 1749889966 2306673137 2624834949 4613346274 5249669898 6920019411 13840038822 25373404507 50746809014 76120213521 152240427042