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151251322014 = 232137346119207
BaseRepresentation
bin1000110011011101001…
…0000000010010011110
3112110101222001020222100
42030313102000102132
54434230314301024
6153252304425530
713633102011252
oct2146722002236
9473358036870
10151251322014
1159166478981
12253919182a6
13113558a29a0
14746ba40262
153e038a67c9
hex233748049e

151251322014 has 96 divisors (see below), whose sum is σ = 358548974784. Its totient is φ = 45799395840.

The previous prime is 151251321997. The next prime is 151251322049. The reversal of 151251322014 is 410223152151.

It is a happy number.

151251322014 is a `hidden beast` number, since 1 + 512 + 5 + 132 + 2 + 0 + 14 = 666.

151251322014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7865199 + ... + 7884405.

It is an arithmetic number, because the mean of its divisors is an integer number (3734885154).

Almost surely, 2151251322014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151251322014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179274487392).

151251322014 is an abundant number, since it is smaller than the sum of its proper divisors (207297652770).

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

151251322014 is a wasteful number, since it uses less digits than its factorization.

151251322014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19762 (or 19759 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 151251322014 its reverse (410223152151), we get a palindrome (561474474165).

The spelling of 151251322014 in words is "one hundred fifty-one billion, two hundred fifty-one million, three hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 438 461 657 922 949 1314 1383 1898 2766 2847 4149 5694 5993 8298 8541 11986 17082 17979 19207 33653 35958 38414 53937 57621 67306 100959 107874 115242 172863 201918 249691 302877 345726 437489 499382 605754 749073 874978 1312467 1402111 1498146 2247219 2624934 2804222 3937401 4206333 4494438 7874802 8412666 8854427 12618999 17708854 18227443 25237998 26563281 36454886 53126562 54682329 79689843 109364658 115107551 159379686 164046987 230215102 328093974 345322653 646373171 690645306 1035967959 1292746342 1939119513 2071935918 3878239026 5817358539 8402851223 11634717078 16805702446 25208553669 50417107338 75625661007 151251322014