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31401431421399 = 32138317938946439
BaseRepresentation
bin1110010001111001101110…
…01010100101000111010111
311010011221120202011021222100
413020330313022211013113
513103440112420441044
6150441341330133143
76420451513050414
oct710746712450727
9133157522137870
1031401431421399
11a0072aa449436
123631983a211b3
13146a1b0776820
147a7ba1b2710b
15396c53938869
hex1c8f372a51d7

31401431421399 has 96 divisors (see below), whose sum is σ = 49840225344000. Its totient is φ = 18935273564928.

The previous prime is 31401431421377. The next prime is 31401431421407. The reversal of 31401431421399 is 99312413410413.

31401431421399 is a `hidden beast` number, since 3 + 1 + 40 + 1 + 431 + 42 + 139 + 9 = 666.

It is not a de Polignac number, because 31401431421399 - 215 = 31401431388631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401431421599) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 676163422 + ... + 676209860.

It is an arithmetic number, because the mean of its divisors is an integer number (519169014000).

Almost surely, 231401431421399 is an apocalyptic number.

31401431421399 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

31401431421399 is a deficient number, since it is larger than the sum of its proper divisors (18438793922601).

31401431421399 is a wasteful number, since it uses less digits than its factorization.

31401431421399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47109 (or 47106 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 31401431421399 in words is "thirty-one trillion, four hundred one billion, four hundred thirty-one million, four hundred twenty-one thousand, three hundred ninety-nine".

Divisors: 1 3 9 13 39 83 117 179 249 389 537 747 1079 1167 1611 2327 3237 3501 5057 6981 9711 14857 15171 20943 32287 44571 45513 46439 69631 96861 133713 139317 193141 208893 290583 417951 419731 579423 603707 626679 905203 1259193 1738269 1811121 2715609 3777579 3854437 5433363 5779373 8146827 8312581 11563311 17338119 18064771 24937743 34689933 50107681 52014357 54194313 74813229 75131849 108063553 150323043 162582939 225395547 234842023 324190659 450969129 676186641 689944223 704526069 972571977 1499375993 2069832669 2113578207 3233594009 4498127979 6209498007 8969274899 9700782027 13494383937 19491887909 26907824697 29102346081 42036722117 58475663727 80723474091 126110166351 175426991181 268388302747 378330499053 805164908241 2415494724723 3489047935711 10467143807133 31401431421399