Search a number
-
+
13944269430 = 23257132130969
BaseRepresentation
bin11001111110010010…
…01010101001110110
31022222210121021121100
430333021022221312
5212024213110210
610223402030530
71002360222510
oct147711125166
938883537540
1013944269430
115a061a4013
122851aa8446
131412bc8300
14963d2abb0
155692c55c0
hex33f24aa76

13944269430 has 144 divisors (see below), whose sum is σ = 44867178720. Its totient is φ = 2942065152.

The previous prime is 13944269429. The next prime is 13944269447. The reversal of 13944269430 is 3496244931.

13944269430 is a `hidden beast` number, since 139 + 4 + 426 + 94 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 40986 + ... + 171954.

It is an arithmetic number, because the mean of its divisors is an integer number (311577630).

Almost surely, 213944269430 is an apocalyptic number.

13944269430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13944269430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433589360).

13944269430 is an abundant number, since it is smaller than the sum of its proper divisors (30922909290).

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

13944269430 is a wasteful number, since it uses less digits than its factorization.

13944269430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131015 (or 130999 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13944269430 in words is "thirteen billion, nine hundred forty-four million, two hundred sixty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 507 546 585 630 819 845 910 1014 1170 1183 1365 1521 1638 1690 2366 2535 2730 3042 3549 4095 5070 5915 7098 7605 8190 10647 11830 15210 17745 21294 35490 53235 106470 130969 261938 392907 654845 785814 916783 1178721 1309690 1702597 1833566 1964535 2357442 2750349 3405194 3929070 4583915 5107791 5500698 5893605 8251047 8512985 9167830 10215582 11787210 11918179 13751745 15323373 16502094 17025970 22133761 23836358 25538955 27503490 30646746 35754537 41255235 44267522 51077910 59590895 66401283 71509074 76616865 82510470 107263611 110668805 119181790 132802566 153233730 154936327 178772685 199203849 214527222 221337610 309872654 332006415 357545370 398407698 464808981 536318055 664012830 774681635 929617962 996019245 1072636110 1394426943 1549363270 1992038490 2324044905 2788853886 4648089810 6972134715 13944269430