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1317434201694 = 2341331145913831
BaseRepresentation
bin10011001010111101001…
…100101001011001011110
311122221112020212122220000
4103022331030221121132
5133041101123423234
62445115415035130
7164116150642632
oct23127514513136
94587466778800
101317434201694
114687a2296a46
121933b206baa6
1397306045710
1447a9abb2dc2
15244097b9899
hex132bd32965e

1317434201694 has 160 divisors (see below), whose sum is σ = 3284146145280. Its totient is φ = 391990881600.

The previous prime is 1317434201689. The next prime is 1317434201719. The reversal of 1317434201694 is 4961024347131.

It is a happy number.

1317434201694 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 434 + 201 + 6 + 9 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95245359 + ... + 95259189.

It is an arithmetic number, because the mean of its divisors is an integer number (20525913408).

Almost surely, 21317434201694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317434201694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642073072640).

1317434201694 is an abundant number, since it is smaller than the sum of its proper divisors (1966711943586).

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

1317434201694 is a wasteful number, since it uses less digits than its factorization.

1317434201694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15348 (or 15339 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1317434201694 in words is "one trillion, three hundred seventeen billion, four hundred thirty-four million, two hundred one thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 279 351 403 558 702 806 837 1053 1209 1459 1674 2106 2418 2511 2918 3627 4377 5022 7254 8754 10881 13131 13831 18967 21762 26262 27662 32643 37934 39393 41493 45229 56901 65286 78786 82986 90458 113802 118179 124479 135687 170703 179803 236358 248958 271374 341406 359606 373437 407061 428761 512109 539409 587977 746874 814122 857522 1024218 1078818 1120311 1175954 1221183 1286283 1536327 1618227 1763931 2240622 2442366 2572566 3072654 3236454 3527862 3663549 3858849 4854681 5291793 5573893 7327098 7717698 9709362 10583586 11147786 11576547 14564043 15875379 16721679 20179429 23153094 29128086 31750758 33443358 34729641 40358858 47626137 50165037 60538287 69459282 95252274 100330074 121076574 150495111 181614861 262332577 300990222 363229722 451485333 524665154 544844583 625562299 786997731 902970666 1089689166 1251124598 1573995462 1634533749 1876686897 2360993193 3269067498 3753373794 4721986386 5630060691 7082979579 8132309887 11260121382 14165959158 16264619774 16890182073 21248938737 24396929661 33780364146 42497877474 48793859322 50670546219 73190788983 101341092438 146381577966 219572366949 439144733898 658717100847 1317434201694