Search a number
-
+
1014456234432 = 2637976629393
BaseRepresentation
bin11101100001100100100…
…11011011000111000000
310120222111012101020001010
432300302103123013000
5113110101244000212
62054011301440520
7133202112501054
oct16606223330700
93528435336033
101014456234432
11361257108883
12144737410140
1374880278004
1437158361c64
151b5c596a03c
hexec324db1c0

1014456234432 has 56 divisors (see below), whose sum is σ = 2687450257296. Its totient is φ = 337727746048.

The previous prime is 1014456234413. The next prime is 1014456234439. The reversal of 1014456234432 is 2344326544101.

It is a super-4 number, since 4×10144562344324 (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014456234439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3161673 + ... + 3467720.

It is an arithmetic number, because the mean of its divisors is an integer number (47990183166).

Almost surely, 21014456234432 is an apocalyptic number.

1014456234432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1014456234432 is an abundant number, since it is smaller than the sum of its proper divisors (1672994022864).

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

1014456234432 is an equidigital number, since it uses as much as digits as its factorization.

1014456234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6630205 (or 6630195 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 1014456234432 in words is "one trillion, fourteen billion, four hundred fifty-six million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 797 1594 2391 3188 4782 6376 9564 12752 19128 25504 38256 51008 76512 153024 6629393 13258786 19888179 26517572 39776358 53035144 79552716 106070288 159105432 212140576 318210864 424281152 636421728 1272843456 5283626221 10567252442 15850878663 21134504884 31701757326 42269009768 63403514652 84538019536 126807029304 169076039072 253614058608 338152078144 507228117216 1014456234432