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150015010340 = 2251319157193423
BaseRepresentation
bin1000101110110110010…
…1110110011000100100
3112100012210201010012002
42023231211312120210
54424212320312330
6152525502144432
713560340356116
oct2135545663044
9470183633162
10150015010340
1158691620698
12250a7882118
13111b9706710
14739177b3b6
153d80096e45
hex22ed976624

150015010340 has 96 divisors (see below), whose sum is σ = 359397265920. Its totient is φ = 52140381696.

The previous prime is 150015010309. The next prime is 150015010349. The reversal of 150015010340 is 43010510051.

150015010340 is digitally balanced in base 2, because in such base 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 (20).

It is not an unprimeable number, because it can be changed into a prime (150015010349) 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 31 ways as a sum of consecutive naturals, for example, 678869 + ... + 872291.

It is an arithmetic number, because the mean of its divisors is an integer number (3743721520).

Almost surely, 2150015010340 is an apocalyptic number.

150015010340 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 150015010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179698632960).

150015010340 is an abundant number, since it is smaller than the sum of its proper divisors (209382255580).

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

150015010340 is a wasteful number, since it uses less digits than its factorization.

150015010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193621 (or 193619 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 150015010340 its reverse (43010510051), we get a palindrome (193025520391).

The spelling of 150015010340 in words is "one hundred fifty billion, fifteen million, ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 157 190 247 260 314 380 494 628 785 988 1235 1570 2041 2470 2983 3140 4082 4940 5966 8164 10205 11932 14915 20410 29830 38779 40820 59660 77558 155116 193423 193895 386846 387790 773692 775580 967115 1934230 2514499 3675037 3868460 5028998 7350074 10057996 12572495 14700148 18375185 25144990 30367411 36750370 47775481 50289980 60734822 73500740 95550962 121469644 151837055 191101924 238877405 303674110 394776343 477754810 576980809 607348220 789552686 955509620 1153961618 1579105372 1973881715 2307923236 2884904045 3947763430 5769808090 7500750517 7895526860 11539616180 15001501034 30003002068 37503752585 75007505170 150015010340