Search a number
-
+
12140053153152 = 27331614721753
BaseRepresentation
bin1011000010101001001110…
…0011100100010110000000
31120222120121011210102221220
42300222103203210112000
53042400312101400102
641453021411115040
72362042556121201
oct260522343442600
946876534712856
1012140053153152
113960627572771
1214409a72a2a80
136a0a572a2242
142dd8202c55a8
15160bcd6411bc
hexb0a938e4580

12140053153152 has 32 divisors (see below), whose sum is σ = 32247016189080. Its totient is φ = 4046684384256.

The previous prime is 12140053153147. The next prime is 12140053153157. The reversal of 12140053153152 is 25135135004121.

It is an interprime number because it is at equal distance from previous prime (12140053153147) and next prime (12140053153157).

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

It is a super-2 number, since 2×121400531531522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140053153157) 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, 15807360493 + ... + 15807361260.

Almost surely, 212140053153152 is an apocalyptic number.

12140053153152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12140053153152 is an abundant number, since it is smaller than the sum of its proper divisors (20106963035928).

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

12140053153152 is an equidigital number, since it uses as much as digits as its factorization.

12140053153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31614721770 (or 31614721758 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 12140053153152 its reverse (25135135004121), we get a palindrome (37275188157273).

The spelling of 12140053153152 in words is "twelve trillion, one hundred forty billion, fifty-three million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 31614721753 63229443506 94844165259 126458887012 189688330518 252917774024 379376661036 505835548048 758753322072 1011671096096 1517506644144 2023342192192 3035013288288 4046684384384 6070026576576 12140053153152