Search a number
-
+
15730144398 = 23225110873203
BaseRepresentation
bin11101010011001011…
…01111010010001110
31111121021001010111200
432221211233102032
5224203404110043
611120515330330
71064544010203
oct165145572216
944537033450
1015730144398
116742290341
12306bbb09a6
131638bb1067
14a931a7caa
15620e8d7d3
hex3a996f48e

15730144398 has 48 divisors (see below), whose sum is σ = 34259936256. Its totient is φ = 5216058000.

The previous prime is 15730144393. The next prime is 15730144439. The reversal of 15730144398 is 89344103751.

15730144398 is a `hidden beast` number, since 1 + 573 + 0 + 1 + 44 + 39 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15730144393) 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 23 ways as a sum of consecutive naturals, for example, 4909465 + ... + 4912667.

It is an arithmetic number, because the mean of its divisors is an integer number (713748672).

Almost surely, 215730144398 is an apocalyptic number.

15730144398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

15730144398 is an abundant number, since it is smaller than the sum of its proper divisors (18529791858).

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

15730144398 is a wasteful number, since it uses less digits than its factorization.

15730144398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 15730144398 in words is "fifteen billion, seven hundred thirty million, one hundred forty-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 251 502 753 1087 1506 2174 2259 3203 3261 4518 6406 6522 9609 9783 19218 19566 28827 57654 272837 545674 803953 818511 1607906 1637022 2411859 2455533 3481661 4823718 4911066 6963322 7235577 10444983 14471154 20889966 31334949 62669898 873896911 1747793822 2621690733 5243381466 7865072199 15730144398