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10302434044 = 22721753227257
BaseRepresentation
bin10011001100001001…
…01010101011111100
3222120222211212122021
421212010222223330
5132044410342134
64422144525524
7513206146600
oct114604525374
928528755567
1010302434044
114407501201
121bb63208a4
13c8255b126
146da3ab500
154046ed0b4
hex26612aafc

10302434044 has 144 divisors (see below), whose sum is σ = 22813594272. Its totient is φ = 4043440128.

The previous prime is 10302434041. The next prime is 10302434081. The reversal of 10302434044 is 44043420301.

10302434044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103024340442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302434041) 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 47 ways as a sum of consecutive naturals, for example, 40087164 + ... + 40087420.

It is an arithmetic number, because the mean of its divisors is an integer number (158427738).

Almost surely, 210302434044 is an apocalyptic number.

10302434044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302434044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406797136).

10302434044 is an abundant number, since it is smaller than the sum of its proper divisors (12511160228).

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

10302434044 is a wasteful number, since it uses less digits than its factorization.

10302434044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10302434044 its reverse (44043420301), we get a palindrome (54345854345).

The spelling of 10302434044 in words is "ten billion, three hundred two million, four hundred thirty-four thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 196 212 227 238 257 371 454 476 514 742 833 901 908 1028 1484 1589 1666 1799 1802 2597 3178 3332 3598 3604 3859 4369 5194 6307 6356 7196 7718 8738 10388 11123 12031 12593 12614 13621 15436 17476 22246 24062 25186 25228 27013 27242 30583 44149 44492 48124 50372 54026 54484 58339 61166 84217 88298 95347 108052 116678 122332 168434 176596 189091 190694 204527 214081 231557 233356 336868 378182 381388 408373 409054 428162 463114 589519 667429 756364 816746 818108 856324 926228 991763 1179038 1334858 1431689 1620899 1633492 1983526 2358076 2669716 2858611 2863378 3091967 3241798 3967052 5717222 5726756 6183934 6483596 6942341 10021823 11346293 11434444 12367868 13884682 20043646 21643769 22692586 27769364 40087292 43287538 45385172 48596387 52563439 86575076 97192774 105126878 151506383 194385548 210253756 303012766 367944073 606025532 735888146 1471776292 2575608511 5151217022 10302434044