Search a number
-
+
1340535144025 = 527115357123011
BaseRepresentation
bin10011100000011110000…
…111101111111001011001
311202011011012101010022201
4103200132013233321121
5133430403444102100
62503500000250201
7165564465501010
oct23403607577131
94664135333281
101340535144025
11477577160920
1219797a610961
1399547cb826c
1448c4cc59a77
1524d0c8b836a
hex1381e1efe59

1340535144025 has 96 divisors (see below), whose sum is σ = 2115324896256. Its totient is φ = 818419680000.

The previous prime is 1340535144019. The next prime is 1340535144037. The reversal of 1340535144025 is 5204415350431.

It is not a de Polignac number, because 1340535144025 - 27 = 1340535143897 is a prime.

It is a super-2 number, since 2×13405351440252 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 58244770 + ... + 58267780.

It is an arithmetic number, because the mean of its divisors is an integer number (22034634336).

Almost surely, 21340535144025 is an apocalyptic number.

It is an amenable number.

1340535144025 is a deficient number, since it is larger than the sum of its proper divisors (774789752231).

1340535144025 is a wasteful number, since it uses less digits than its factorization.

1340535144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23663 (or 23658 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 1340535144025 in words is "one trillion, three hundred forty billion, five hundred thirty-five million, one hundred forty-four thousand, twenty-five".

Divisors: 1 5 7 11 25 35 53 55 77 175 265 275 371 385 571 583 1325 1855 1925 2855 2915 3997 4081 6281 9275 14275 14575 19985 20405 23011 30263 31405 43967 99925 102025 115055 151315 157025 161077 211841 219835 253121 332893 575275 756575 805385 1059205 1099175 1219583 1265605 1664465 1771847 2330251 4026925 5296025 6097915 6328025 8322325 8537081 8859235 11651255 13139281 13415413 30489575 42685405 44296175 58256275 65696405 67077065 91974967 93907891 144532091 213427025 328482025 335385325 459874835 469539455 696381893 722660455 1011724637 2299374175 2347697275 3481909465 3613302275 4874673251 5058623185 7660200823 17409547325 24373366255 25293115925 38301004115 53621405761 121866831275 191505020575 268107028805 1340535144025