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13927012440 = 23351123458729
BaseRepresentation
bin11001111100001110…
…10101100001011000
31022221121010112110120
430332013111201120
5212010303344230
610221544113240
71002060436545
oct147607254130
938847115416
1013927012440
1159a7487640
122848165820
13140c465583
14961917bcc
15567a17310
hex33e1d5858

13927012440 has 128 divisors (see below), whose sum is σ = 47561126400. Its totient is φ = 3229445120.

The previous prime is 13927012409. The next prime is 13927012447. The reversal of 13927012440 is 4421072931.

13927012440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13927012447) 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, 199005 + ... + 259724.

It is an arithmetic number, because the mean of its divisors is an integer number (371571300).

Almost surely, 213927012440 is an apocalyptic number.

13927012440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13927012440 is an abundant number, since it is smaller than the sum of its proper divisors (33634113960).

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

13927012440 is a wasteful number, since it uses less digits than its factorization.

13927012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458777 (or 458773 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 13927012440 in words is "thirteen billion, nine hundred twenty-seven million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 458729 917458 1376187 1834916 2293645 2752374 3669832 4587290 5046019 5504748 6880935 9174580 10092038 10550767 11009496 13761870 15138057 18349160 20184076 21101534 25230095 27523740 30276114 31652301 40368152 42203068 50460190 52753835 55047480 60552228 63304602 75690285 84406136 100920380 105507670 116058437 121104456 126609204 151380570 158261505 201840760 211015340 232116874 253218408 302761140 316523010 348175311 422030680 464233748 580292185 605522280 633046020 696350622 928467496 1160584370 1266092040 1392701244 1740876555 2321168740 2785402488 3481753110 4642337480 6963506220 13927012440