Search a number
-
+
153314042520 = 23353465136871
BaseRepresentation
bin1000111011001000111…
…0101010001010011000
3112122201201102022120010
42032302032222022120
510002441343330040
6154233112001520
714035156600542
oct2166216521230
9478651368503
10153314042520
115a024864371
12258686902a0
13115c403a372
1475c5984692
153ec4a07e80
hex23b23aa298

153314042520 has 64 divisors (see below), whose sum is σ = 459967875840. Its totient is φ = 40881456000.

The previous prime is 153314042473. The next prime is 153314042521. The reversal of 153314042520 is 25240413351.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153314042521) 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 15 ways as a sum of consecutive naturals, for example, 4139685 + ... + 4176555.

It is an arithmetic number, because the mean of its divisors is an integer number (7186998060).

Almost surely, 2153314042520 is an apocalyptic number.

153314042520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153314042520 is an abundant number, since it is smaller than the sum of its proper divisors (306653833320).

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

153314042520 is a wasteful number, since it uses less digits than its factorization.

153314042520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71536 (or 71532 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 153314042520 its reverse (25240413351), we get a palindrome (178554455871).

The spelling of 153314042520 in words is "one hundred fifty-three billion, three hundred fourteen million, forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34651 36871 69302 73742 103953 110613 138604 147484 173255 184355 207906 221226 277208 294968 346510 368710 415812 442452 519765 553065 693020 737420 831624 884904 1039530 1106130 1386040 1474840 2079060 2212260 4158120 4424520 1277617021 2555234042 3832851063 5110468084 6388085105 7665702126 10220936168 12776170210 15331404252 19164255315 25552340420 30662808504 38328510630 51104680840 76657021260 153314042520