Search a number
-
+
40040211204004 = 22111797675480669
BaseRepresentation
bin10010001101010100101101…
…00100001100011110100100
312020202210210011101211020111
421012222112210030132210
520222004323032012004
6221054115153542404
711301544521454444
oct1106522644143644
9166683704354214
1040040211204004
1111837a5a418880
1245a8089874a04
131945a11327bbb
149c5d56b44124
15496810022a04
hex246a9690c7a4

40040211204004 has 48 divisors (see below), whose sum is σ = 80945199054720. Its totient is φ = 17127745180160.

The previous prime is 40040211203957. The next prime is 40040211204061.

40040211204004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×400402112040042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 4565382 + ... + 10046050.

It is an arithmetic number, because the mean of its divisors is an integer number (1686358313640).

Almost surely, 240040211204004 is an apocalyptic number.

40040211204004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40040211204004 is an abundant number, since it is smaller than the sum of its proper divisors (40904987850716).

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

40040211204004 is a wasteful number, since it uses less digits than its factorization.

40040211204004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490468 (or 5490466 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Multiplying 40040211204004 by its sum of digits (22), we get a palindrome (880884646488088).

It can be divided in two parts, 4004021 and 1204004, that added together give a palindrome (5208025).

The spelling of 40040211204004 in words is "forty trillion, forty billion, two hundred eleven million, two hundred four thousand, four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 9767 19534 39068 107437 166039 214874 332078 429748 664156 1826429 3652858 5480669 7305716 10961338 21922676 60287359 93171373 120574718 186342746 241149436 372685492 1024885103 2049770206 4099540412 53529694123 107059388246 214118776492 588826635353 910004800091 1177653270706 1820009600182 2355306541412 3640019200364 10010052801001 20020105602002 40040211204004