Search a number
-
+
31401413322144 = 2532913782330243
BaseRepresentation
bin1110010001111001101100…
…00101100010010110100000
311010011221112111002202110120
413020330312011202112200
513103440043302302034
6150441335442200240
76420451203156045
oct710746605422640
9133157474082416
1031401413322144
11a0072a0207178
123631979953080
13146a1a9aaa5c8
147a7b9d5751cc
15396c52060c49
hex1c8f361625a0

31401413322144 has 96 divisors (see below), whose sum is σ = 85893496960320. Its totient is φ = 10032433969152.

The previous prime is 31401413322107. The next prime is 31401413322163. The reversal of 31401413322144 is 44122331410413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40783714 + ... + 41546529.

It is an arithmetic number, because the mean of its divisors is an integer number (894723926670).

Almost surely, 231401413322144 is an apocalyptic number.

It is an amenable number.

31401413322144 is an abundant number, since it is smaller than the sum of its proper divisors (54492083638176).

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

31401413322144 is a wasteful number, since it uses less digits than its factorization.

31401413322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82330422 (or 82330414 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 31401413322144 its reverse (44122331410413), we get a palindrome (75523744732557).

The spelling of 31401413322144 in words is "thirty-one trillion, four hundred one billion, four hundred thirteen million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 137 174 232 274 348 411 464 548 696 822 928 1096 1392 1644 2192 2784 3288 3973 4384 6576 7946 11919 13152 15892 23838 31784 47676 63568 95352 127136 190704 381408 82330243 164660486 246990729 329320972 493981458 658641944 987962916 1317283888 1975925832 2387577047 2634567776 3951851664 4775154094 7162731141 7903703328 9550308188 11279243291 14325462282 19100616376 22558486582 28650924564 33837729873 38201232752 45116973164 57301849128 67675459746 76402465504 90233946328 114603698256 135350919492 180467892656 229207396512 270701838984 327098055439 360935785312 541403677968 654196110878 981294166317 1082807355936 1308392221756 1962588332634 2616784443512 3925176665268 5233568887024 7850353330536 10467137774048 15700706661072 31401413322144