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40040101433311 = 737953193383921
BaseRepresentation
bin10010001101010100100000…
…00001011100111111011111
312020202210111111211220011021
421012222100001130333133
520222004111431331221
6221054100233105011
711301542016436330
oct1106522001347737
9166683444756137
1040040101433311
1111837a034634a1
1245a8058b58167
1319459c4673025
149c5d4632c287
1549680558d041
hex246a9005cfdf

40040101433311 has 32 divisors (see below), whose sum is σ = 47071089802368. Its totient is φ = 33339823534080.

The previous prime is 40040101433291. The next prime is 40040101433329. The reversal of 40040101433311 is 11333410104004.

It is a happy number.

40040101433311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40040101433311 - 25 = 40040101433279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040101433351) 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, 477074631 + ... + 477158551.

It is an arithmetic number, because the mean of its divisors is an integer number (1470971556324).

Almost surely, 240040101433311 is an apocalyptic number.

40040101433311 is a deficient number, since it is larger than the sum of its proper divisors (7030988369057).

40040101433311 is a wasteful number, since it uses less digits than its factorization.

40040101433311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86851.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 40040101433311 its reverse (11333410104004), we get a palindrome (51373511537315).

The spelling of 40040101433311 in words is "forty trillion, forty billion, one hundred one million, four hundred thirty-three thousand, three hundred eleven".

Divisors: 1 7 37 259 953 1933 6671 13531 35261 71521 83921 246827 500647 587447 1842149 3105077 12895043 21735539 68159513 79976713 162219293 477116591 559836991 1135535051 2959138381 6002113841 20713968667 42014796887 154594986229 1082164903603 5720014490473 40040101433311