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14311203231432 = 2334145756955931
BaseRepresentation
bin1101000001000001011000…
…1011110101011011001000
31212200010201100201002212010
43100100112023311123020
53333433321011401212
650234250452215520
73004643646232302
oct320202613653310
955603640632763
1014311203231432
11461839014a538
12173173500a5a0
137ca704b26283
14376947464972
1519c401de303c
hexd04162f56c8

14311203231432 has 128 divisors (see below), whose sum is σ = 36796051958400. Its totient is φ = 4635621580800.

The previous prime is 14311203231427. The next prime is 14311203231439. The reversal of 14311203231432 is 23413230211341.

It is a self number, because there is not a number n which added to its sum of digits gives 14311203231432.

It is not an unprimeable number, because it can be changed into a prime (14311203231439) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 255844507 + ... + 255900437.

It is an arithmetic number, because the mean of its divisors is an integer number (287469155925).

Almost surely, 214311203231432 is an apocalyptic number.

14311203231432 is a gapful number since it is divisible by the number (12) 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 14311203231432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398025979200).

14311203231432 is an abundant number, since it is smaller than the sum of its proper divisors (22484848726968).

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

14311203231432 is a wasteful number, since it uses less digits than its factorization.

14311203231432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57007 (or 57003 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 14311203231432 its reverse (23413230211341), we get a palindrome (37724433442773).

The spelling of 14311203231432 in words is "fourteen trillion, three hundred eleven billion, two hundred three million, two hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 457 492 569 914 984 1138 1371 1707 1828 2276 2742 3414 3656 4552 5484 6828 10968 13656 18737 23329 37474 46658 55931 56211 69987 74948 93316 111862 112422 139974 149896 167793 186632 223724 224844 260033 279948 335586 447448 449688 520066 559896 671172 780099 1040132 1342344 1560198 2080264 2293171 3120396 4586342 6240792 6879513 9172684 10661353 13759026 18345368 21322706 25560467 27518052 31824739 31984059 42645412 51120934 55036104 63649478 63968118 76681401 85290824 95474217 102241868 127298956 127936236 153362802 190948434 204483736 254597912 255872472 306725604 381896868 613451208 763793736 1047979147 1304814299 2095958294 2609628598 3143937441 3914442897 4191916588 5219257196 6287874882 7828885794 8383833176 10438514392 12575749764 14543905723 15657771588 25151499528 29087811446 31315543176 43631717169 58175622892 87263434338 116351245784 174526868676 349053737352 596300134643 1192600269286 1788900403929 2385200538572 3577800807858 4770401077144 7155601615716 14311203231432