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314142041143446 = 23477397123396719
BaseRepresentation
bin100011101101101011110010…
…0110001010111100010010110
31112012021200111222100020210020
41013123113210301113202112
5312133400400013042241
63032042510022010010
7123112004426011365
oct10733274461274226
91465250458306706
10314142041143446
119110598961755a
122b2969b9b76906
131063960ca6c229
1457807ad61b7dc
15264b84e76bb66
hex11db5e4c57896

314142041143446 has 128 divisors (see below), whose sum is σ = 651486766694400. Its totient is φ = 100919842571520.

The previous prime is 314142041143397. The next prime is 314142041143453. The reversal of 314142041143446 is 644341140241413.

It is a junction number, because it is equal to n+sod(n) for n = 314142041143398 and 314142041143407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46754281675 + ... + 46754288393.

It is an arithmetic number, because the mean of its divisors is an integer number (5089740364800).

Almost surely, 2314142041143446 is an apocalyptic number.

314142041143446 is an abundant number, since it is smaller than the sum of its proper divisors (337344725550954).

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

314142041143446 is a wasteful number, since it uses less digits than its factorization.

314142041143446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154.

The product of its (nonzero) digits is 442368, while the sum is 42.

Adding to 314142041143446 its reverse (644341140241413), we get a palindrome (958483181384859).

The spelling of 314142041143446 in words is "three hundred fourteen trillion, one hundred forty-two billion, forty-one million, one hundred forty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 47 73 94 141 146 219 282 438 971 1942 2339 2913 3431 4678 5826 6719 6862 7017 10293 13438 14034 20157 20586 40314 45637 70883 91274 109933 136911 141766 170747 212649 219866 273822 315793 329799 341494 425298 490487 512241 631586 659598 947379 980974 1024482 1471461 1894758 2271169 2942922 3331501 4542338 6524149 6663002 6813507 8025109 9994503 13048298 13627014 15715741 16050218 19572447 19989006 23052889 24075327 31431482 39144894 46105778 47147223 48150654 69158667 94294446 106744943 138317334 165795337 213489886 306635003 320234829 331590674 476262877 497386011 613270006 640469658 738639827 919905009 952525754 994772022 1147249093 1428788631 1477279654 1839810018 2215919481 2294498186 2857577262 3441747279 4431838962 6883494558 7792380839 15259984511 15584761678 22384355219 23377142517 30519969022 44768710438 45779953533 46754285034 53920707371 67153065657 91559907066 107841414742 134306131314 161762122113 323524244226 717219272017 1113978869303 1434438544034 2151657816051 2227957738606 3341936607909 4303315632102 6683873215818 52357006857241 104714013714482 157071020571723 314142041143446