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151244112344 = 23132376474673
BaseRepresentation
bin1000110011011011011…
…0100000000111011000
3112110101110110222011112
42030312312200013120
54434221443043334
6153251450115452
713632653512643
oct2146666400730
9473343428145
10151244112344
11591623a4176
122538b41bb88
131135424a200
14746aac4a5a
153e02e304ce
hex2336da01d8

151244112344 has 96 divisors (see below), whose sum is σ = 315929121120. Its totient is φ = 67798867968.

The previous prime is 151244112317. The next prime is 151244112373. The reversal of 151244112344 is 443211442151.

It is a self number, because there is not a number n which added to its sum of digits gives 151244112344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32363192 + ... + 32367864.

It is an arithmetic number, because the mean of its divisors is an integer number (3290928345).

Almost surely, 2151244112344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151244112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157964560560).

151244112344 is an abundant number, since it is smaller than the sum of its proper divisors (164685008776).

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

151244112344 is a wasteful number, since it uses less digits than its factorization.

151244112344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5372 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

Adding to 151244112344 its reverse (443211442151), we get a palindrome (594455554495).

The spelling of 151244112344 in words is "one hundred fifty-one billion, two hundred forty-four million, one hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 647 676 962 1294 1352 1924 2588 3848 4673 5176 6253 8411 9346 12506 16822 18692 23939 25012 33644 37384 47878 50024 60749 67288 95756 109343 121498 172901 191512 218686 242996 311207 345802 437372 485992 622414 691604 789737 874744 1244828 1383208 1579474 2247713 2489656 3023431 3158948 4045691 4495426 6046862 6317896 8091382 8990852 12093724 16182764 17981704 24187448 29220269 32365528 39304603 58440538 78609206 111866947 116881076 157218412 223733894 233762152 314436824 447467788 510959839 894935576 1021919678 1454270311 2043839356 2908540622 4087678712 5817081244 11634162488 18905514043 37811028086 75622056172 151244112344