Search a number
-
+
13944439278 = 23371117197273
BaseRepresentation
bin11001111110010011…
…10100000111101110
31022222210220220121000
430333021310013232
5212024234024103
610223405421130
71002361530630
oct147711640756
938883826530
1013944439278
115a062aa690
122851b6a7a6
131412c57703
14963d72a50
1556930aaa3
hex33f2741ee

13944439278 has 128 divisors (see below), whose sum is σ = 40906736640. Its totient is φ = 3408860160.

The previous prime is 13944439247. The next prime is 13944439279. The reversal of 13944439278 is 87293444931.

13944439278 is a `hidden beast` number, since 139 + 4 + 4 + 439 + 2 + 78 = 666.

It is a super-3 number, since 3×139444392783 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13944439279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27951 + ... + 169322.

It is an arithmetic number, because the mean of its divisors is an integer number (319583880).

Almost surely, 213944439278 is an apocalyptic number.

13944439278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13944439278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20453368320).

13944439278 is an abundant number, since it is smaller than the sum of its proper divisors (26962297362).

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

13944439278 is a wasteful number, since it uses less digits than its factorization.

13944439278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197319 (or 197313 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 13944439278 in words is "thirteen billion, nine hundred forty-four million, four hundred thirty-nine thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 99 102 119 126 153 154 187 189 198 231 238 297 306 357 374 378 459 462 561 594 693 714 918 1071 1122 1309 1386 1683 2079 2142 2618 3213 3366 3927 4158 5049 6426 7854 10098 11781 23562 35343 70686 197273 394546 591819 1183638 1380911 1775457 2170003 2761822 3353641 3550914 4142733 4340006 5326371 6510009 6707282 8285466 10060923 10652742 12428199 13020018 15190021 19530027 20121846 23475487 24856398 30182769 30380042 36890051 37284597 39060054 45570063 46950974 58590081 60365538 70426461 73780102 74569194 90548307 91140126 110670153 117180162 136710189 140852922 181096614 211279383 221340306 258230357 273420378 332010459 410130567 422558766 516460714 633838149 664020918 774691071 820261134 996031377 1267676298 1549382142 1992062754 2324073213 4648146426 6972219639 13944439278