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4344955902 = 2327714631049
BaseRepresentation
bin1000000101111101…
…01100001111111110
3102012210210121222200
410002332230033332
532344302042102
61555051252330
7212446341630
oct40276541776
912183717880
104344955902
11192a683751
12a1314a0a6
1354322ca31
142d30aaa50
151a66b451c
hex102fac3fe

4344955902 has 96 divisors (see below), whose sum is σ = 10944460800. Its totient is φ = 1220123520.

The previous prime is 4344955889. The next prime is 4344955903. The reversal of 4344955902 is 2095594434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344955903) 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 47 ways as a sum of consecutive naturals, for example, 4141474 + ... + 4142522.

It is an arithmetic number, because the mean of its divisors is an integer number (114004800).

Almost surely, 24344955902 is an apocalyptic number.

4344955902 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344955902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472230400).

4344955902 is an abundant number, since it is smaller than the sum of its proper divisors (6599504898).

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

4344955902 is a wasteful number, since it uses less digits than its factorization.

4344955902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 4344955902 is about 65916.2794914883. The cubic root of 4344955902 is about 1631.7806956434.

The spelling of 4344955902 in words is "four billion, three hundred forty-four million, nine hundred fifty-five thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 463 497 639 926 994 1049 1278 1389 1491 2098 2778 2982 3147 3241 4167 4473 6294 6482 7343 8334 8946 9441 9723 14686 18882 19446 22029 29169 32873 44058 58338 65746 66087 74479 98619 132174 148958 197238 223437 230111 295857 446874 460222 485687 521353 591714 670311 690333 971374 1042706 1340622 1380666 1457061 1564059 2070999 2914122 3128118 3399809 4141998 4371183 4692177 6799618 8742366 9384354 10199427 20398854 30598281 34483777 61196562 68967554 103451331 206902662 241386439 310353993 482772878 620707986 724159317 1448318634 2172477951 4344955902