Search a number
-
+
45242102144 = 2783251307
BaseRepresentation
bin101010001000101000…
…111011000110000000
311022202222222220202202
4222020220323012000
51220123434232034
632441155132332
73161066344301
oct521050730600
9138688886682
1045242102144
1118206a94a68
1289275a40a8
134360119a55
1422928907a8
15129bd1247e
hexa88a3b180

45242102144 has 48 divisors (see below), whose sum is σ = 91231524420. Its totient is φ = 22348072704.

The previous prime is 45242102131. The next prime is 45242102179. The reversal of 45242102144 is 44120124254.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 856139 + ... + 907445.

Almost surely, 245242102144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45242102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45615762210).

45242102144 is an abundant number, since it is smaller than the sum of its proper divisors (45989422276).

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

45242102144 is an frugal number, since it uses more digits than its factorization.

45242102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51487 (or 51392 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 45242102144 its reverse (44120124254), we get a palindrome (89362226398).

The spelling of 45242102144 in words is "forty-five billion, two hundred forty-two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 5312 6889 10624 13778 27556 51307 55112 102614 110224 205228 220448 410456 440896 820912 881792 1641824 3283648 4258481 6567296 8516962 17033924 34067848 68135696 136271392 272542784 353453923 545085568 706907846 1413815692 2827631384 5655262768 11310525536 22621051072 45242102144