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40023166132004 = 221110129332719397
BaseRepresentation
bin10010001100110100111101…
…00110011001111100100100
312020201011210021002110011112
421012122132212121330210
520221214421012211004
6221042215542524152
711300402236652126
oct1106323646317444
9166634707073145
1040023166132004
1111830802974a10
1245a4911436658
131944225bb3493
149c51bb091216
154961638e5e6e
hex24669e999f24

40023166132004 has 96 divisors (see below), whose sum is σ = 77459648861952. Its totient is φ = 17943353280000.

The previous prime is 40023166132003. The next prime is 40023166132021.

40023166132004 is nontrivially palindromic in base 10.

40023166132004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×400231661320043 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40023166132003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4259138234 + ... + 4259147630.

It is an arithmetic number, because the mean of its divisors is an integer number (806871342312).

Almost surely, 240023166132004 is an apocalyptic number.

40023166132004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40023166132004 is a deficient number, since it is larger than the sum of its proper divisors (37436482729948).

40023166132004 is a wasteful number, since it uses less digits than its factorization.

40023166132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13077 (or 13075 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 40023166132004 in words is "forty trillion, twenty-three billion, one hundred sixty-six million, one hundred thirty-two thousand, four".

Divisors: 1 2 4 11 22 44 101 202 293 404 586 1111 1172 2222 3223 3271 4444 6446 6542 9397 12892 13084 18794 29593 35981 37588 59186 71962 103367 118372 143924 206734 325523 330371 413468 651046 660742 949097 958403 1302092 1321484 1898194 1916806 2753321 3634081 3796388 3833612 5506642 7268162 10440067 10542433 11013284 14536324 20880134 21084866 30286531 30737587 41760268 42169732 60573062 61475174 96798703 121146124 122950348 193597406 278085421 338113457 387194812 556170842 676226914 1064785733 1112341684 1352453828 2129571466 3058939631 3104496287 4259142932 6117879262 6208992574 9006112991 12235758524 12417985148 18012225982 34149459157 36024451964 68298918314 99067242901 136597836628 198134485802 396268971604 909617412091 1819234824182 3638469648364 10005791533001 20011583066002 40023166132004