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40344000510 = 235114313612089
BaseRepresentation
bin100101100100101100…
…001001011111111110
310212010122100120111010
4211210230021133332
51130111031004020
630311143540050
72625522226512
oct454454113776
9125118316433
1040344000510
1116123155790
12799b15a626
133a5c417a68
141d4a156142
1510b1cd7de0
hex964b097fe

40344000510 has 128 divisors (see below), whose sum is σ = 108215585280. Its totient is φ = 9541324800.

The previous prime is 40344000509. The next prime is 40344000523. The reversal of 40344000510 is 1500044304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19311546 + ... + 19313634.

It is an arithmetic number, because the mean of its divisors is an integer number (845434260).

Almost surely, 240344000510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40344000510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54107792640).

40344000510 is an abundant number, since it is smaller than the sum of its proper divisors (67871584770).

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

40344000510 is a wasteful number, since it uses less digits than its factorization.

40344000510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514.

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 40344000510 its reverse (1500044304), we get a palindrome (41844044814).

The spelling of 40344000510 in words is "forty billion, three hundred forty-four million, five hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1361 1419 2089 2365 2722 2838 4083 4178 4730 6267 6805 7095 8166 10445 12534 13610 14190 14971 20415 20890 22979 29942 31335 40830 44913 45958 58523 62670 68937 74855 89826 89827 114895 117046 137874 149710 175569 179654 224565 229790 269481 292615 344685 351138 449130 449135 538962 585230 643753 689370 877845 898270 988097 1287506 1347405 1755690 1931259 1976194 2694810 2843129 2964291 3218765 3862518 4940485 5686258 5928582 6437530 8529387 9656295 9880970 14215645 14821455 17058774 19312590 28431290 29642910 31274419 42646935 62548838 85293870 93823257 122254547 156372095 187646514 244509094 312744190 366763641 469116285 611272735 733527282 938232570 1222545470 1344800017 1833818205 2689600034 3667636410 4034400051 6724000085 8068800102 13448000170 20172000255 40344000510