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231214808412132 = 223432235869342371
BaseRepresentation
bin110100100100100111100100…
…100001011010111111100100
31010022122220211112200012120120
4310210213210201122333210
5220301210411423142012
62135430341105001540
766462501332106216
oct6444474441327744
91108586745605516
10231214808412132
1167743716655726
1221b22b8b6232b0
139c02602c3176c
144114bdc0ca5b6
151bae663b2158c
hexd249e485afe4

231214808412132 has 96 divisors (see below), whose sum is σ = 554619413483520. Its totient is φ = 74928676959360.

The previous prime is 231214808412121. The next prime is 231214808412149.

231214808412132 is nontrivially palindromic in base 10.

231214808412132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675162907 + ... + 675505277.

It is an arithmetic number, because the mean of its divisors is an integer number (5777285557120).

Almost surely, 2231214808412132 is an apocalyptic number.

It is an amenable number.

231214808412132 is an abundant number, since it is smaller than the sum of its proper divisors (323404605071388).

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

231214808412132 is a wasteful number, since it uses less digits than its factorization.

231214808412132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348513 (or 348511 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 231214808412132 in words is "two hundred thirty-one trillion, two hundred fourteen billion, eight hundred eight million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 223 258 446 516 669 892 1338 2676 5869 9589 11738 17607 19178 23476 28767 35214 38356 57534 70428 115068 252367 342371 504734 684742 757101 1009468 1027113 1308787 1369484 1514202 2054226 2617574 3028404 3926361 4108452 5235148 7852722 14721953 15705444 29443906 44165859 56277841 58887812 76348733 88331718 112555682 152697466 168833523 176663436 225111364 229046199 305394932 337667046 458092398 675334092 916184796 2009375399 3282995519 4018750798 6028126197 6565991038 8037501596 9848986557 12056252394 13131982076 19697973114 24112504788 39395946228 86403142157 172806284314 259209426471 345612568628 448090713977 518418852942 896181427954 1036837705884 1344272141931 1792362855908 2688544283862 5377088567724 19267900701011 38535801402022 57803702103033 77071602804044 115607404206066 231214808412132