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2430142044 = 2231117263703
BaseRepresentation
bin1001000011011001…
…0000011001011100
320021100202000011220
42100312100121130
514434104021134
61041050213340
7114135603141
oct22066203134
96240660156
102430142044
11103782a760
12579a24250
132c9610495
14190a683c8
15e352c149
hex90d9065c

2430142044 has 72 divisors (see below), whose sum is σ = 6571195008. Its totient is φ = 693077760.

The previous prime is 2430141943. The next prime is 2430142133. The reversal of 2430142044 is 4402410342.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 6297 + ... + 69999.

Almost surely, 22430142044 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 2430142044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285597504).

2430142044 is an abundant number, since it is smaller than the sum of its proper divisors (4141052964).

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

2430142044 is a wasteful number, since it uses less digits than its factorization.

2430142044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63755 (or 63736 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2430142044 is about 49296.4709081695. The cubic root of 2430142044 is about 1344.4476192039.

Adding to 2430142044 its reverse (4402410342), we get a palindrome (6832552386).

The spelling of 2430142044 in words is "two billion, four hundred thirty million, one hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 289 374 561 578 748 867 1122 1156 1734 2244 3179 3468 6358 9537 12716 19074 38148 63703 127406 191109 254812 382218 700733 764436 1082951 1401466 2102199 2165902 2802932 3248853 4204398 4331804 6497706 8408796 11912461 12995412 18410167 23824922 35737383 36820334 47649844 55230501 71474766 73640668 110461002 142949532 202511837 220922004 405023674 607535511 810047348 1215071022 2430142044