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150442244052 = 223293715177377
BaseRepresentation
bin1000110000011100001…
…1100111011111010100
3112101022120121211122220
42030013003213133110
54431101203302202
6153040123222340
713604045655342
oct2140703473724
9471276554586
10150442244052
11588907a7701
12251a69779b0
1311257091b29
1473d23d0992
153da7839abc
hex23070e77d4

150442244052 has 96 divisors (see below), whose sum is σ = 375425675520. Its totient is φ = 46797004800.

The previous prime is 150442244021. The next prime is 150442244063. The reversal of 150442244052 is 250442244051.

150442244052 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905588 + ... + 1982964.

It is an arithmetic number, because the mean of its divisors is an integer number (3910684120).

Almost surely, 2150442244052 is an apocalyptic number.

150442244052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150442244052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187712837760).

150442244052 is an abundant number, since it is smaller than the sum of its proper divisors (224983431468).

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

150442244052 is a wasteful number, since it uses less digits than its factorization.

150442244052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77601 (or 77599 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Subtracting 150442244052 from its reverse (250442244051), we obtain a palindrome (99999999999).

The spelling of 150442244052 in words is "one hundred fifty billion, four hundred forty-two million, two hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 151 174 222 302 348 444 453 604 906 1073 1812 2146 3219 4292 4379 5587 6438 8758 11174 12876 13137 16761 17516 22348 26274 33522 52548 67044 77377 154754 162023 232131 309508 324046 464262 486069 648092 928524 972138 1944276 2243933 2862949 4487866 5725898 6731799 8588847 8975732 11451796 11683927 13463598 17177694 23367854 26927196 34355388 35051781 46735708 70103562 83025521 140207124 166051042 249076563 332102084 338833883 432305299 498153126 677667766 864610598 996306252 1016501649 1296915897 1355335532 1729221196 2033003298 2593831794 4066006596 5187663588 12536853671 25073707342 37610561013 50147414684 75221122026 150442244052