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14210302040 = 23511173161283
BaseRepresentation
bin11010011110000000…
…00000000001011000
31100200100012010201222
431033000000001120
5213100314131130
610310024031212
71012100401004
oct151700000130
940610163658
1014210302040
116032388280
122907002508
13145606235c
1498b3bb704
15582824ce5
hex34f000058

14210302040 has 128 divisors (see below), whose sum is σ = 38123550720. Its totient is φ = 4706457600.

The previous prime is 14210302019. The next prime is 14210302049. The reversal of 14210302040 is 4020301241.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14210302049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201239 + ... + 262521.

It is an arithmetic number, because the mean of its divisors is an integer number (297840240).

Almost surely, 214210302040 is an apocalyptic number.

14210302040 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 14210302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061775360).

14210302040 is an abundant number, since it is smaller than the sum of its proper divisors (23913248680).

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

14210302040 is a wasteful number, since it uses less digits than its factorization.

14210302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61353 (or 61349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 14210302040 its reverse (4020301241), we get a palindrome (18230603281).

The spelling of 14210302040 in words is "fourteen billion, two hundred ten million, three hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 31 34 40 44 55 62 68 85 88 110 124 136 155 170 187 220 248 310 340 341 374 440 527 620 680 682 748 935 1054 1240 1364 1496 1705 1870 2108 2635 2728 3410 3740 4216 5270 5797 6820 7480 10540 11594 13640 21080 23188 28985 46376 57970 61283 115940 122566 231880 245132 306415 490264 612830 674113 1041811 1225660 1348226 1899773 2083622 2451320 2696452 3370565 3799546 4167244 5209055 5392904 6741130 7599092 8334488 9498865 10418110 11459921 13482260 15198184 18997730 20836220 20897503 22919842 26964520 32296141 37995460 41672440 41795006 45839684 57299605 64592282 75990920 83590012 91679368 104487515 114599210 129184564 161480705 167180024 208975030 229198420 258369128 322961410 355257551 417950060 458396840 645922820 710515102 835900120 1291845640 1421030204 1776287755 2842060408 3552575510 7105151020 14210302040