Search a number
-
+
153304433242254 = 23274967244957087
BaseRepresentation
bin100010110110110111111000…
…010010010011000010001110
3202002210202112112121010201100
4202312313320102103002032
5130043214434402223004
61302015030120323530
744201610524652510
oct4266677022230216
9662722475533640
10153304433242254
1144936054a21808
121523b5146135a6
1367707137c9388
1429bdd8d143bb0
1512acc00635739
hex8b6df849308e

153304433242254 has 48 divisors (see below), whose sum is σ = 379687405713408. Its totient is φ = 43792448006736.

The previous prime is 153304433242253. The next prime is 153304433242283. The reversal of 153304433242254 is 452242334403351.

153304433242254 is a `hidden beast` number, since 1 + 5 + 3 + 30 + 4 + 43 + 324 + 2 + 254 = 666.

153304433242254 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153304433242253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121852702 + ... + 123104385.

It is an arithmetic number, because the mean of its divisors is an integer number (7910154285696).

Almost surely, 2153304433242254 is an apocalyptic number.

153304433242254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

153304433242254 is an abundant number, since it is smaller than the sum of its proper divisors (226382972471154).

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

153304433242254 is a wasteful number, since it uses less digits than its factorization.

153304433242254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244962069 (or 244962066 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

The spelling of 153304433242254 in words is "one hundred fifty-three trillion, three hundred four billion, four hundred thirty-three million, two hundred forty-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 4967 9934 14901 29802 34769 44703 69538 89406 104307 208614 312921 625842 244957087 489914174 734871261 1469742522 1714699609 2204613783 3429399218 4409227566 5144098827 10288197654 15432296481 30864592962 1216701851129 2433403702258 3650105553387 7300211106774 8516912957903 10950316660161 17033825915806 21900633320322 25550738873709 51101477747418 76652216621127 153304433242254