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14132200152 = 2337219632483
BaseRepresentation
bin11010010100101100…
…00100001011011000
31100110220020011002110
431022112010023120
5212420320401102
610254154032320
71010131501500
oct151226041330
940426204073
1014132200152
115aa2293164
1228a4a186a0
131442b17c15
14980c8aa00
1557aa4886c
hex34a5842d8

14132200152 has 96 divisors (see below), whose sum is σ = 43261905600. Its totient is φ = 3825251136.

The previous prime is 14132200127. The next prime is 14132200153. The reversal of 14132200152 is 25100223141.

It is a super-2 number, since 2×141322001522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132200153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293898 + ... + 338585.

It is an arithmetic number, because the mean of its divisors is an integer number (450644850).

Almost surely, 214132200152 is an apocalyptic number.

14132200152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14132200152 is an abundant number, since it is smaller than the sum of its proper divisors (29129705448).

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

14132200152 is a wasteful number, since it uses less digits than its factorization.

14132200152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632525 (or 632514 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 14132200152 its reverse (25100223141), we get a palindrome (39232423293).

The spelling of 14132200152 in words is "fourteen billion, one hundred thirty-two million, two hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 22344 632483 1264966 1897449 2529932 3794898 4427381 5059864 7589796 8854762 12017177 13282143 15179592 17709524 24034354 26564286 30991667 35419048 36051531 48068708 53128572 61983334 72103062 84120239 92975001 96137416 106257144 123966668 144206124 168240478 185950002 247933336 252360717 288412248 336480956 371900004 504721434 588841673 672961912 743800008 1009442868 1177683346 1766525019 2018885736 2355366692 3533050038 4710733384 7066100076 14132200152