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26440400140434 = 2327298321304897
BaseRepresentation
bin1100000001100001000101…
…01010000111100010010010
310110121200021221120012112100
412000300202222013202102
511431144414413443214
6132122315132341230
75366153522663100
oct600604252074222
9113550257505470
1026440400140434
1184743466412a5
122b703b0614816
13119a41bbc48b7
14675a179bac70
1530cb973de309
hex180c22a87892

26440400140434 has 72 divisors (see below), whose sum is σ = 66641496709788. Its totient is φ = 7554298429440.

The previous prime is 26440400140421. The next prime is 26440400140493. The reversal of 26440400140434 is 43404100404462.

26440400140434 is a `hidden beast` number, since 2 + 6 + 4 + 40 + 40 + 0 + 140 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18201290092209 + 8239110048225 = 4266297^2 + 2870385^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86566674 + ... + 86871570.

Almost surely, 226440400140434 is an apocalyptic number.

26440400140434 is an abundant number, since it is smaller than the sum of its proper divisors (40201096569354).

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

26440400140434 is a wasteful number, since it uses less digits than its factorization.

26440400140434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403240 (or 403230 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 26440400140434 its reverse (43404100404462), we get a palindrome (69844500544896).

The spelling of 26440400140434 in words is "twenty-six trillion, four hundred forty billion, four hundred million, one hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 98321 196642 294963 304897 589926 609794 688247 884889 914691 1376494 1769778 1829382 2064741 2134279 2744073 4129482 4268558 4817729 5488146 6194223 6402837 9635458 12388446 12805674 14453187 14939953 19208511 28906374 29879906 38417022 43359561 44819859 86719122 89639718 134459577 268919154 29977777937 59955555874 89933333811 179866667622 209844445559 269800001433 419688891118 539600002866 629533336677 1259066673354 1468911118913 1888600010031 2937822237826 3777200020062 4406733356739 8813466713478 13220200070217 26440400140434