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153919882140 = 223524373105253
BaseRepresentation
bin1000111101011001010…
…1110000001110011100
3112201021221102011021120
42033112111300032130
510010211442212030
6154413153130540
714056164261033
oct2172625601634
9481257364246
10153919882140
115a305840672
12259b7559a50
131168c6cbc4b
14764220b71a
15400cccb010
hex23d657039c

153919882140 has 48 divisors (see below), whose sum is σ = 430997447328. Its totient is φ = 41043227904.

The previous prime is 153919882057. The next prime is 153919882141. The reversal of 153919882140 is 41288919351.

153919882140 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 not an unprimeable number, because it can be changed into a prime (153919882141) 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 15 ways as a sum of consecutive naturals, for example, 1409754 + ... + 1515006.

It is an arithmetic number, because the mean of its divisors is an integer number (8979113486).

Almost surely, 2153919882140 is an apocalyptic number.

153919882140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153919882140 is an abundant number, since it is smaller than the sum of its proper divisors (277077565188).

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

153919882140 is a wasteful number, since it uses less digits than its factorization.

153919882140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129638 (or 129636 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 153919882140 in words is "one hundred fifty-three billion, nine hundred nineteen million, eight hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 24373 48746 73119 97492 105253 121865 146238 210506 243730 292476 315759 365595 421012 487460 526265 631518 731190 1052530 1263036 1462380 1578795 2105060 3157590 6315180 2565331369 5130662738 7695994107 10261325476 12826656845 15391988214 25653313690 30783976428 38479970535 51306627380 76959941070 153919882140