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214118127440 = 2457826346273
BaseRepresentation
bin1100011101101001101…
…1110101011101010000
3202110200021000212110022
43013122123311131100
512002003220034230
6242210422323012
721320022024260
oct3073233653520
9673607025408
10214118127440
1182897112318
12355b7889468
131726424a839
14a5131477a0
155882b3d1e5
hex31da6f5750

214118127440 has 80 divisors (see below), whose sum is σ = 569023603968. Its totient is φ = 73401458688.

The previous prime is 214118127407. The next prime is 214118127481. The reversal of 214118127440 is 44721811412.

It is a Cunningham number, because it is equal to 4627292-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 214118127440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4604144 + ... + 4650416.

Almost surely, 2214118127440 is an apocalyptic number.

214118127440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214118127440 is an abundant number, since it is smaller than the sum of its proper divisors (354905476528).

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

214118127440 is a wasteful number, since it uses less digits than its factorization.

214118127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54556 (or 54550 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

Adding to 214118127440 its reverse (44721811412), we get a palindrome (258839938852).

The spelling of 214118127440 in words is "two hundred fourteen billion, one hundred eighteen million, one hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 8263 16526 33052 41315 46273 57841 66104 82630 92546 115682 132208 165260 185092 231364 231365 289205 323911 330520 370184 462728 462730 578410 647822 661040 740368 925456 925460 1156820 1295644 1619555 1850920 2313640 2591288 3239110 3701840 4627280 5182576 6478220 12956440 25912880 382353799 764707598 1529415196 1911768995 2676476593 3058830392 3823537990 5352953186 6117660784 7647075980 10705906372 13382382965 15294151960 21411812744 26764765930 30588303920 42823625488 53529531860 107059063720 214118127440