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13940819880 = 23351376111743
BaseRepresentation
bin11001111101111000…
…00000011110101000
31022222120010000201020
430332330000132220
5212022322214010
610223200052440
71002316004511
oct147674003650
938876100636
1013940819880
115a04258349
122850904120
13141228b160
149636ada08
15568d43470
hex33ef007a8

13940819880 has 128 divisors (see below), whose sum is σ = 45102597120. Its totient is φ = 3426785280.

The previous prime is 13940819863. The next prime is 13940819887. The reversal of 13940819880 is 8891804931.

13940819880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13940819887) 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 31 ways as a sum of consecutive naturals, for example, 1181289 + ... + 1193031.

It is an arithmetic number, because the mean of its divisors is an integer number (352364040).

Almost surely, 213940819880 is an apocalyptic number.

13940819880 is a gapful number since it is divisible by the number (10) 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 13940819880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22551298560).

13940819880 is an abundant number, since it is smaller than the sum of its proper divisors (31161777240).

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

13940819880 is a wasteful number, since it uses less digits than its factorization.

13940819880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 13940819880 in words is "thirteen billion, nine hundred forty million, eight hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 761 780 1522 1560 2283 3044 3805 4566 6088 7610 9132 9893 11415 11743 15220 18264 19786 22830 23486 29679 30440 35229 39572 45660 46972 49465 58715 59358 70458 79144 91320 93944 98930 117430 118716 140916 148395 152659 176145 197860 234860 237432 281832 296790 305318 352290 395720 457977 469720 593580 610636 704580 763295 915954 1187160 1221272 1409160 1526590 1831908 2289885 3053180 3663816 4579770 6106360 8936423 9159540 17872846 18319080 26809269 35745692 44682115 53618538 71491384 89364230 107237076 116173499 134046345 178728460 214474152 232346998 268092690 348520497 357456920 464693996 536185380 580867495 697040994 929387992 1072370760 1161734990 1394081988 1742602485 2323469980 2788163976 3485204970 4646939960 6970409940 13940819880