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131413341210424 = 237132347166986893
BaseRepresentation
bin11101111000010100001101…
…100001011000011100111000
3122020021222210200211210102021
4131320110031201120130320
5114211034010322213144
61143254242221044224
736452205046604650
oct3570241541303470
9566258720753367
10131413341210424
11389660a31a1359
12128a49520b6674
1358432c015a2c0
142464622593360
15102d568aa9884
hex77850d858738

131413341210424 has 128 divisors (see below), whose sum is σ = 323179755171840. Its totient is φ = 48669331594752.

The previous prime is 131413341210397. The next prime is 131413341210443. The reversal of 131413341210424 is 424012143314131.

It is a self number, because there is not a number n which added to its sum of digits gives 131413341210424.

It is a congruent number.

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, 82706479 + ... + 84280414.

It is an arithmetic number, because the mean of its divisors is an integer number (2524841837280).

Almost surely, 2131413341210424 is an apocalyptic number.

131413341210424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131413341210424 is an abundant number, since it is smaller than the sum of its proper divisors (191766413961416).

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

131413341210424 is a wasteful number, since it uses less digits than its factorization.

131413341210424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166986989 (or 166986985 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 131413341210424 its reverse (424012143314131), we get a palindrome (555425484524555).

The spelling of 131413341210424 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred forty-one million, two hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 47 52 56 91 92 94 104 161 182 184 188 299 322 329 364 376 598 611 644 658 728 1081 1196 1222 1288 1316 2093 2162 2392 2444 2632 4186 4277 4324 4888 7567 8372 8554 8648 14053 15134 16744 17108 28106 30268 34216 56212 60536 98371 112424 196742 393484 786968 166986893 333973786 667947572 1168908251 1335895144 2170829609 2337816502 3840698539 4341659218 4675633004 7681397078 7848383971 8683318436 9351266008 15195807263 15362794156 15696767942 17366636872 26884889773 30391614526 30725588312 31393535884 49929081007 53769779546 54938687797 60783229052 62787071768 99858162014 102028991623 107539559092 109877375594 121566458104 180512831333 199716324028 204057983246 215079118184 219754751188 349503567049 361025662666 399432648056 408115966492 439509502376 699007134098 714202941361 722051325332 816231932984 1263589819331 1398014268196 1428405882722 1444102650664 2346666807329 2527179638662 2796028536392 2856811765444 4693333614658 5054359277324 5713623530888 9386667229316 10108718554648 16426667651303 18773334458632 32853335302606 65706670605212 131413341210424