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312141132402398 = 2131741173696114303
BaseRepresentation
bin100011011111001000000010…
…1010100010000111011011110
31111221012101211012112120110022
41012332100011110100323132
5311403110014343334043
63023511353455312142
7122514311150230445
oct10676200524207336
91457171735476408
10312141132402398
1190504346814112
122b01306181b652
1310522a23170980
1457119d61b7d5c
152614791ad7868
hex11be405510ede

312141132402398 has 128 divisors (see below), whose sum is σ = 550188938363904. Its totient is φ = 131490894643200.

The previous prime is 312141132402377. The next prime is 312141132402401. The reversal of 312141132402398 is 893204231141213.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21823465715 + ... + 21823480017.

It is an arithmetic number, because the mean of its divisors is an integer number (4298351080968).

Almost surely, 2312141132402398 is an apocalyptic number.

312141132402398 is a deficient number, since it is larger than the sum of its proper divisors (238047805961506).

312141132402398 is a wasteful number, since it uses less digits than its factorization.

312141132402398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21510.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 312141132402398 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred thirty-two million, four hundred two thousand, three hundred ninety-eight".

Divisors: 1 2 13 17 26 34 41 82 173 221 346 442 533 697 1066 1394 2249 2941 4498 5882 6961 7093 9061 13922 14186 14303 18122 28606 38233 76466 90493 92209 118337 120581 180986 184418 185939 236674 241162 243151 285401 371878 486302 570802 586423 1172846 1204253 1538381 1567553 2408506 2474419 3076762 3135106 3160963 3710213 4851817 4948838 6321926 7420426 7623499 9703634 9969191 15246998 15655289 19938382 20472301 31310578 32167447 40944602 42065123 49374373 63073621 64334894 84130246 98748746 99563183 101451179 126147242 129599483 199126366 202902358 259198966 266139913 532279826 546846599 641866849 839364341 1093693198 1283733698 1294321379 1318865327 1678728682 1692574111 1724670043 2588642758 2637730654 3385148222 3449340086 4082090503 8164181006 10911736433 17224430659 21823472866 22003463443 22420710559 34448861318 44006926886 44841421118 53067176539 69395538551 106134353078 138791077102 223917598567 292815321203 447835197134 585630642406 706201657019 902142001163 1412403314038 1804284002326 3806599175639 7613198351278 9180621541247 12005428169323 18361243082494 24010856338646 156070566201199 312141132402398