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150139975441 = 233216632
BaseRepresentation
bin1000101111010100001…
…0100011011100010001
3112100112111212000002011
42023311002203130101
54424441313203231
6152550124422521
713563415506631
oct2136502433421
9470474760064
10150139975441
1158746113835
12251216a7a41
131120957b571
1473a41ca6c1
153d8b02d9b1
hex22f50a3711

150139975441 has 9 divisors (see below), whose sum is σ = 150877844859. Its totient is φ = 149405702736.

The previous prime is 150139975439. The next prime is 150139975463. The reversal of 150139975441 is 144579931051.

The square root of 150139975441 is 387479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30490398225 + 119649577216 = 174615^2 + 345904^2 .

It is not a de Polignac number, because 150139975441 - 21 = 150139975439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150139975421) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 90281776 + ... + 90283438.

Almost surely, 2150139975441 is an apocalyptic number.

150139975441 is the 387479-th square number.

150139975441 is the 193740-th centered octagonal number.

It is an amenable number.

150139975441 is a deficient number, since it is larger than the sum of its proper divisors (737869418).

150139975441 is an frugal number, since it uses more digits than its factorization.

150139975441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

Multiplying 150139975441 by its sum of digits (49), we get a square (7356858796609 = 27123532).

The spelling of 150139975441 in words is "one hundred fifty billion, one hundred thirty-nine million, nine hundred seventy-five thousand, four hundred forty-one".

Divisors: 1 233 1663 54289 387479 2765569 90282607 644377577 150139975441