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203142421314 = 233710712174127
BaseRepresentation
bin1011110100110000111…
…0110101101101000010
3201102100100022020011000
42331030032311231002
511312013424440224
6233153343032430
720451026043120
oct2751416655502
9642310266130
10203142421314
1179174667908
1233453b9b716
131620537ab81
149b9159c910
15543e29c0c9
hex2f4c3b5b42

203142421314 has 128 divisors (see below), whose sum is σ = 521293086720. Its totient is φ = 57437088768.

The previous prime is 203142421303. The next prime is 203142421331. The reversal of 203142421314 is 413124241302.

203142421314 is a `hidden beast` number, since 20 + 3 + 1 + 424 + 213 + 1 + 4 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49220719 + ... + 49224845.

It is an arithmetic number, because the mean of its divisors is an integer number (4072602240).

Almost surely, 2203142421314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203142421314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260646543360).

203142421314 is an abundant number, since it is smaller than the sum of its proper divisors (318150665406).

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

203142421314 is a wasteful number, since it uses less digits than its factorization.

203142421314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5463 counting only the distinct ones).

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

Adding to 203142421314 its reverse (413124241302), we get a palindrome (616266662616).

The spelling of 203142421314 in words is "two hundred three billion, one hundred forty-two million, four hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 107 126 189 214 321 378 642 749 963 1217 1498 1926 2247 2434 2889 3651 4127 4494 5778 6741 7302 8254 8519 10953 12381 13482 17038 20223 21906 24762 25557 28889 32859 37143 40446 51114 57778 65718 74286 76671 86667 111429 130219 153342 173334 222858 230013 260001 260438 390657 441589 460026 520002 780003 781314 883178 911533 1171971 1324767 1560006 1823066 2343942 2649534 2734599 3091123 3515913 3974301 5022559 5469198 6182246 7031826 7948602 8203797 9273369 10045118 11922903 15067677 16407594 18546738 23845806 24611391 27820107 30135354 35157913 45203031 49222782 55640214 70315826 83460321 90406062 105473739 135609093 166920642 210947478 271218186 316421217 537413813 632842434 949263651 1074827626 1612241439 1898527302 3224482878 3761896691 4836724317 7523793382 9673448634 11285690073 14510172951 22571380146 29020345902 33857070219 67714140438 101571210657 203142421314