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150114358446 = 23136832817779
BaseRepresentation
bin1000101111001110000…
…0110101010010101110
3112100110201122112011120
42023303200311102232
54424413233432241
6152543411401410
713562654664543
oct2136340652256
9470421575146
10150114358446
1158732707368
1225114bb3266
131120417c590
1473a0a3cbca
153d88b6d666
hex22f38354ae

150114358446 has 32 divisors (see below), whose sum is σ = 323796735360. Its totient is φ = 46121390304.

The previous prime is 150114358349. The next prime is 150114358447. The reversal of 150114358446 is 644853411051.

150114358446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1501143584462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150114358398 and 150114358407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150114358447) 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 15 ways as a sum of consecutive naturals, for example, 1355616 + ... + 1462163.

It is an arithmetic number, because the mean of its divisors is an integer number (10118647980).

Almost surely, 2150114358446 is an apocalyptic number.

150114358446 is an abundant number, since it is smaller than the sum of its proper divisors (173682376914).

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

150114358446 is a wasteful number, since it uses less digits than its factorization.

150114358446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818480.

The product of its (nonzero) digits is 230400, while the sum is 42.

Adding to 150114358446 its reverse (644853411051), we get a palindrome (794967769497).

The spelling of 150114358446 in words is "one hundred fifty billion, one hundred fourteen million, three hundred fifty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 683 1366 2049 4098 8879 17758 26637 53274 2817779 5635558 8453337 16906674 36631127 73262254 109893381 219786762 1924543057 3849086114 5773629171 11547258342 25019059741 50038119482 75057179223 150114358446