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150027130740 = 223553157300499
BaseRepresentation
bin1000101110111001010…
…0000101011101110100
3112100020122111220020210
42023232110011131310
54424223421140430
6152531014025420
713560545366424
oct2135624053564
9470218456223
10150027130740
1158698449953
12250ab948270
13111bc08b456
147393214484
153d8118d2b0
hex22ee505774

150027130740 has 96 divisors (see below), whose sum is σ = 430729488000. Its totient is φ = 39002236416.

The previous prime is 150027130739. The next prime is 150027130783. The reversal of 150027130740 is 47031720051.

150027130740 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150027130698 and 150027130707.

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, 349011 + ... + 649509.

It is an arithmetic number, because the mean of its divisors is an integer number (4486765500).

Almost surely, 2150027130740 is an apocalyptic number.

150027130740 is a gapful number since it is divisible by the number (10) 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 150027130740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215364744000).

150027130740 is an abundant number, since it is smaller than the sum of its proper divisors (280702357260).

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

150027130740 is a wasteful number, since it uses less digits than its factorization.

150027130740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300721 (or 300719 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

Adding to 150027130740 its reverse (47031720051), we get a palindrome (197058850791).

The spelling of 150027130740 in words is "one hundred fifty billion, twenty-seven million, one hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 157 159 212 265 314 318 471 530 628 636 785 795 942 1060 1570 1590 1884 2355 3140 3180 4710 8321 9420 16642 24963 33284 41605 49926 83210 99852 124815 166420 249630 300499 499260 600998 901497 1201996 1502495 1802994 3004990 3605988 4507485 6009980 9014970 15926447 18029940 31852894 47178343 47779341 63705788 79632235 94356686 95558682 141535029 159264470 188713372 191117364 235891715 238896705 283070058 318528940 471783430 477793410 566140116 707675145 943566860 955586820 1415350290 2500452179 2830700580 5000904358 7501356537 10001808716 12502260895 15002713074 25004521790 30005426148 37506782685 50009043580 75013565370 150027130740