Search a number
-
+
1276529040040 = 23529445121
BaseRepresentation
bin10010100100110111000…
…011110101101010101000
311112000221111121011000211
4102210313003311222220
5131403312413240130
62414232423310504
7161140402544602
oct22446703655250
94460844534024
101276529040040
11452411400621
12187496bab434
13934b75b0257
1445ada304172
15233135d6a2a
hex129370f5aa8

1276529040040 has 80 divisors (see below), whose sum is σ = 2974834350180. Its totient is φ = 492993392640.

The previous prime is 1276529040037. The next prime is 1276529040047. The reversal of 1276529040040 is 400409256721.

It can be written as a sum of positive squares in 10 ways, for example, as 124938213156 + 1151590826884 = 353466^2 + 1073122^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1276529039975 and 1276529040002.

It is not an unprimeable number, because it can be changed into a prime (1276529040047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28268680 + ... + 28313800.

Almost surely, 21276529040040 is an apocalyptic number.

1276529040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1276529040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487417175090).

1276529040040 is an abundant number, since it is smaller than the sum of its proper divisors (1698305310140).

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

1276529040040 is an frugal number, since it uses more digits than its factorization.

1276529040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45248 (or 45157 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1276529040040 in words is "one trillion, two hundred seventy-six billion, five hundred twenty-nine million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 6728 8410 16820 24389 33640 45121 48778 90242 97556 121945 180484 195112 225605 243890 360968 451210 487780 707281 902420 975560 1308509 1414562 1804840 2617018 2829124 3536405 5234036 5658248 6542545 7072810 10468072 13085090 14145620 26170180 28291240 37946761 52340360 75893522 151787044 189733805 303574088 379467610 758935220 1100456069 1517870440 2200912138 4401824276 5502280345 8803648552 11004560690 22009121380 31913226001 44018242760 63826452002 127652904004 159566130005 255305808008 319132260010 638264520020 1276529040040