Search a number
-
+
1401434243200 = 27521283341347
BaseRepresentation
bin10100011001001011111…
…111011000000010000000
311221222100100202220021101
4110121023333120002000
5140430114131240300
62551450543304144
7203151563343055
oct24311377300200
94858310686241
101401434243200
114a0388105452
121a77355ab054
13a2201ab4aa4
144bb88cb302c
15266c401ab6a
hex1464bfd8080

1401434243200 has 96 divisors (see below), whose sum is σ = 3464689026960. Its totient is φ = 560135132160.

The previous prime is 1401434243177. The next prime is 1401434243243. The reversal of 1401434243200 is 23424341041.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3934927 + ... + 4276273.

Almost surely, 21401434243200 is an apocalyptic number.

1401434243200 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 1401434243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732344513480).

1401434243200 is an abundant number, since it is smaller than the sum of its proper divisors (2063254783760).

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

1401434243200 is a wasteful number, since it uses less digits than its factorization.

1401434243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342654 (or 342637 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1401434243200 its reverse (23424341041), we get a palindrome (1424858584241).

The spelling of 1401434243200 in words is "one trillion, four hundred one billion, four hundred thirty-four million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1283 1600 2566 3200 5132 6415 10264 12830 20528 25660 32075 41056 51320 64150 82112 102640 128300 164224 205280 256600 341347 410560 513200 682694 821120 1026400 1365388 1706735 2052800 2730776 3413470 4105600 5461552 6826940 8533675 10923104 13653880 17067350 21846208 27307760 34134700 43692416 54615520 68269400 109231040 136538800 218462080 273077600 437948201 546155200 875896402 1092310400 1751792804 2189741005 3503585608 4379482010 7007171216 8758964020 10948705025 14014342432 17517928040 21897410050 28028684864 35035856080 43794820100 56057369728 70071712160 87589640200 140143424320 175179280400 280286848640 350358560800 700717121600 1401434243200