Search a number
-
+
31100310040140 = 2235511581749159
BaseRepresentation
bin1110001001001000110101…
…11011101010111001001100
311002010011100002011012100000
413010210122323222321030
513034021413332241030
6150051141334004300
76356631450410655
oct704443273527114
9132104302135300
1031100310040140
119a00627263870
1235a3546aa6690
13144799251c213
14797397abc52c
1538deccabd860
hex1c491aeeae4c

31100310040140 has 144 divisors (see below), whose sum is σ = 106725373896960. Its totient is φ = 7539469087680.

The previous prime is 31100310039991. The next prime is 31100310040271. The reversal of 31100310040140 is 4104001300113.

31100310040140 is a `hidden beast` number, since 311 + 0 + 0 + 310 + 0 + 4 + 0 + 1 + 40 = 666.

It is a super-2 number, since 2×311003100401402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290821120 + ... + 290928039.

It is an arithmetic number, because the mean of its divisors is an integer number (741148429840).

Almost surely, 231100310040140 is an apocalyptic number.

31100310040140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31100310040140 is an abundant number, since it is smaller than the sum of its proper divisors (75625063856820).

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

31100310040140 is a wasteful number, since it uses less digits than its factorization.

31100310040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581749194 (or 581749180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31100310040140 its reverse (4104001300113), we get a palindrome (35204311340253).

The spelling of 31100310040140 in words is "thirty-one trillion, one hundred billion, three hundred ten million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 581749159 1163498318 1745247477 2326996636 2908745795 3490494954 5235742431 5817491590 6399240749 6980989908 8726237385 10471484862 11634983180 12798481498 15707227293 17452474770 19197722247 20942969724 25596962996 26178712155 31414454586 31996203745 34904949540 38395444494 47121681879 52357424310 57593166741 62828909172 63992407490 76790888988 78536136465 94243363758 95988611235 104714848620 115186333482 127984814980 141365045637 157072272930 172779500223 188486727516 191977222470 230372666964 235608409395 282730091274 287965833705 314144545860 345559000446 383954444940 471216818790 518338500669 565460182548 575931667410 691118000892 706825228185 863897501115 942433637580 1036677001338 1151863334820 1413650456370 1555015502007 1727795002230 2073354002676 2591692503345 2827300912740 3110031004014 3455590004460 5183385006690 6220062008028 7775077510035 10366770013380 15550155020070 31100310040140