Search a number
-
+
12414301400 = 235281176537
BaseRepresentation
bin10111000111111001…
…10011010011011000
31012001011200212000202
423203330303103120
5200411030121100
65411505321332
7616431551354
oct134374632330
935034625022
1012414301400
1152a0605426
1224a5636248
13122ac42797
1485aa66464
154c9d0b7d5
hex2e3f334d8

12414301400 has 48 divisors (see below), whose sum is σ = 28899218040. Its totient is φ = 4959532800.

The previous prime is 12414301397. The next prime is 12414301423. The reversal of 12414301400 is 410341421.

It is a super-2 number, since 2×124143014002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123932 + ... + 200468.

Almost surely, 212414301400 is an apocalyptic number.

12414301400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414301400 is an abundant number, since it is smaller than the sum of its proper divisors (16484916640).

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

12414301400 is a wasteful number, since it uses less digits than its factorization.

12414301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77364 (or 77355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12414301400 its reverse (410341421), we get a palindrome (12824642821).

The spelling of 12414301400 in words is "twelve billion, four hundred fourteen million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 811 1622 3244 4055 6488 8110 16220 20275 32440 40550 76537 81100 153074 162200 306148 382685 612296 765370 1530740 1913425 3061480 3826850 7653700 15307400 62071507 124143014 248286028 310357535 496572056 620715070 1241430140 1551787675 2482860280 3103575350 6207150700 12414301400