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22144444444122 = 237111317216885511
BaseRepresentation
bin1010000100011111001111…
…01111101010110111011010
32220101222200102000101112120
411002033213233222313122
510400303310234202442
6115033003424522110
74443611656032210
oct502174757526732
986358612011476
1022144444444122
117068451647680
1225978a9780336
13c4829b131690
14567b22702cb0
15286063d4c4ec
hex1423e7beadda

22144444444122 has 128 divisors (see below), whose sum is σ = 62962731675648. Its totient is φ = 4997042150400.

The previous prime is 22144444444033. The next prime is 22144444444141.

22144444444122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×221444444441223 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 108340654 + ... + 108544857.

It is an arithmetic number, because the mean of its divisors is an integer number (491896341216).

Almost surely, 222144444444122 is an apocalyptic number.

22144444444122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22144444444122 is an abundant number, since it is smaller than the sum of its proper divisors (40818287231526).

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

22144444444122 is a wasteful number, since it uses less digits than its factorization.

22144444444122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216885564.

The product of its digits is 1048576, while the sum is 42.

It can be divided in two parts, 2214444 and 4444122, that added together give a palindrome (6658566).

The spelling of 22144444444122 in words is "twenty-two trillion, one hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 143 154 182 187 221 231 238 273 286 357 374 429 442 462 546 561 663 714 858 1001 1122 1309 1326 1547 2002 2431 2618 3003 3094 3927 4641 4862 6006 7293 7854 9282 14586 17017 34034 51051 102102 216885511 433771022 650656533 1301313066 1518198577 2385740621 2819511643 3036397154 3687053687 4554595731 4771481242 5639023286 7157221863 7374107374 8458534929 9109191462 11061161061 14314443726 16700184347 16917069858 19736581501 22122322122 25809375809 31014628073 33400368694 39473163002 40557590557 47931697931 50100553041 51618751618 59209744503 62029256146 77428127427 81115181114 93043884219 95863395862 100201106082 118419489006 121672771671 143795093793 154856254854 186087768438 217102396511 243345543342 283903133899 287590187586 335521885517 434204793022 527248677241 567806267798 651307189533 671043771034 851709401697 1006565656551 1054497354482 1302614379066 1581746031723 1703418803394 2013131313102 3163492063446 3690740740687 7381481481374 11072222222061 22144444444122