Search a number
-
+
150240351504 = 24329325333179
BaseRepresentation
bin1000101111101100000…
…1011101010100010000
3112100210111201122011010
42023323001131110100
54430143012222004
6153004112050520
713566044626335
oct2137301352420
9470714648133
10150240351504
1158797841861
122514b233a40
13112242c4299
1473b367898c
153d94c59a89
hex22fb05d510

150240351504 has 80 divisors (see below), whose sum is σ = 401639918400. Its totient is φ = 48336895488.

The previous prime is 150240351487. The next prime is 150240351557. The reversal of 150240351504 is 405153042051.

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 15 ways as a sum of consecutive naturals, for example, 4511587 + ... + 4544765.

It is an arithmetic number, because the mean of its divisors is an integer number (5020498980).

Almost surely, 2150240351504 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 150240351504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200819959200).

150240351504 is an abundant number, since it is smaller than the sum of its proper divisors (251399566896).

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

150240351504 is a wasteful number, since it uses less digits than its factorization.

150240351504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36472 (or 36466 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 150240351504 its reverse (405153042051), we get a palindrome (555393393555).

The spelling of 150240351504 in words is "one hundred fifty billion, two hundred forty million, three hundred fifty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 3253 6506 9759 13012 19518 26024 33179 39036 52048 66358 78072 94337 99537 132716 156144 188674 199074 265432 283011 377348 398148 530864 566022 754696 796296 962191 1132044 1509392 1592592 1924382 2264088 2886573 3848764 4528176 5773146 7697528 11546292 15395056 23092584 46185168 107931287 215862574 323793861 431725148 647587722 863450296 1295175444 1726900592 2590350888 3130007323 5180701776 6260014646 9390021969 12520029292 18780043938 25040058584 37560087876 50080117168 75120175752 150240351504