Search a number
-
+
40153340511104 = 27973233999719
BaseRepresentation
bin10010010000100111011011…
…00110010000001110000000
312021011121210100011001221112
421020103231212100032000
520230333020132323404
6221222105011342452
711312661131634302
oct1110235546201600
9167147710131845
1040153340511104
1111880a32a176a7
124605ba05b1a28
13195359cc415c2
149cb60978d972
15499731c0256e
hex2484ed990380

40153340511104 has 32 divisors (see below), whose sum is σ = 80817653002800. Its totient is φ = 19869694267392.

The previous prime is 40153340511101. The next prime is 40153340511107. The reversal of 40153340511104 is 40111504335104.

It is an interprime number because it is at equal distance from previous prime (40153340511101) and next prime (40153340511107).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×401533405111042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40153340511101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1616987444 + ... + 1617012275.

Almost surely, 240153340511104 is an apocalyptic number.

It is an amenable number.

40153340511104 is an abundant number, since it is smaller than the sum of its proper divisors (40664312491696).

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

40153340511104 is an equidigital number, since it uses as much as digits as its factorization.

40153340511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233999830 (or 3233999818 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 40153340511104 its reverse (40111504335104), we get a palindrome (80264844846208).

The spelling of 40153340511104 in words is "forty trillion, one hundred fifty-three billion, three hundred forty million, five hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 12416 3233999719 6467999438 12935998876 25871997752 51743995504 103487991008 206975982016 313697972743 413951964032 627395945486 1254791890972 2509583781944 5019167563888 10038335127776 20076670255552 40153340511104