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31222011144040 = 2355940959354547
BaseRepresentation
bin1110001100101011100001…
…11000100010011101101000
311002112210110122020211200121
413012111300320202131220
513043020134323102130
6150223105515013024
76401500353623653
oct706256070423550
9132483418224617
1031222011144040
119a481a9375482
12360305043a174
1314562b8c7b432
1479d220d1689a
15392252094d7a
hex1c6570e22768

31222011144040 has 128 divisors (see below), whose sum is σ = 71736947568000. Its totient is φ = 12226235424768.

The previous prime is 31222011144031. The next prime is 31222011144083. The reversal of 31222011144040 is 4044111022213.

It is a junction number, because it is equal to n+sod(n) for n = 31222011143996 and 31222011144014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572360047 + ... + 572414593.

It is an arithmetic number, because the mean of its divisors is an integer number (560444902875).

Almost surely, 231222011144040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31222011144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35868473784000).

31222011144040 is an abundant number, since it is smaller than the sum of its proper divisors (40514936423960).

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

31222011144040 is a wasteful number, since it uses less digits than its factorization.

31222011144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55619 (or 55615 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 31222011144040 its reverse (4044111022213), we get a palindrome (35266122166253).

The spelling of 31222011144040 in words is "thirty-one trillion, two hundred twenty-two billion, eleven million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 409 472 590 593 818 1180 1186 1636 2045 2360 2372 2965 3272 4090 4744 5930 8180 11860 16360 23720 24131 34987 48262 54547 69974 96524 109094 120655 139948 174935 193048 218188 241310 242537 272735 279896 349870 436376 482620 485074 545470 699740 965240 970148 1090940 1212685 1399480 1940296 2181880 2425370 3218273 4850740 6436546 9701480 12873092 14309683 16091365 22309723 25746184 28619366 32182730 32346371 44619446 57238732 64365460 64692742 71548415 89238892 111548615 114477464 128730920 129385484 143096830 161731855 178477784 223097230 258770968 286193660 323463710 446194460 572387320 646927420 892388920 1293854840 1316273657 1908435889 2632547314 3816871778 5265094628 6581368285 7633743556 9542179445 10530189256 13162736570 13229665739 15267487112 19084358890 26325473140 26459331478 38168717780 52650946280 52918662956 66148328695 76337435560 105837325912 132296657390 264593314780 529186629560 780550278601 1561100557202 3122201114404 3902751393005 6244402228808 7805502786010 15611005572020 31222011144040