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40414314312 = 233473854353
BaseRepresentation
bin100101101000111000…
…010111111101001000
310212022112122212220000
4211220320113331020
51130232031024222
630322135003000
72630335001151
oct455070277510
9125275585800
1040414314312
1116159910569
1279ba809460
133a70b66368
141d5561a928
1510b80769ac
hex968e17f48

40414314312 has 80 divisors (see below), whose sum is σ = 114748285740. Its totient is φ = 13286882304.

The previous prime is 40414314299. The next prime is 40414314331. The reversal of 40414314312 is 21341341404.

40414314312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38798756676 + 1615557636 = 196974^2 + 40194^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379873 + ... + 474480.

Almost surely, 240414314312 is an apocalyptic number.

It is an amenable number.

40414314312 is an abundant number, since it is smaller than the sum of its proper divisors (74333971428).

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

40414314312 is a wasteful number, since it uses less digits than its factorization.

40414314312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854444 (or 854431 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40414314312 its reverse (21341341404), we get a palindrome (61755655716).

The spelling of 40414314312 in words is "forty billion, four hundred fourteen million, three hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 292 324 438 584 648 657 876 1314 1752 1971 2628 3942 5256 5913 7884 11826 15768 23652 47304 854353 1708706 2563059 3417412 5126118 6834824 7689177 10252236 15378354 20504472 23067531 30756708 46135062 61513416 62367769 69202593 92270124 124735538 138405186 184540248 187103307 249471076 276810372 374206614 498942152 553620744 561309921 748413228 1122619842 1496826456 1683929763 2245239684 3367859526 4490479368 5051789289 6735719052 10103578578 13471438104 20207157156 40414314312