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1202040300040 = 235733971036921
BaseRepresentation
bin10001011111011111001…
…011110110001000001000
311020220200020220002110121
4101133133023312020020
5124143234304100130
62320113143153024
7152562451652446
oct21373713661010
94226606802417
101202040300040
11423867459778
12174b68a45774
1389476202338
14422714b3b96
1521403dadd7a
hex117df2f6208

1202040300040 has 64 divisors (see below), whose sum is σ = 2748548406960. Its totient is φ = 473034608640.

The previous prime is 1202040300017. The next prime is 1202040300047. The reversal of 1202040300040 is 400030402021.

It can be written as a sum of positive squares in 8 ways, for example, as 921027928804 + 281012371236 = 959702^2 + 530106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1202040299987 and 1202040300023.

It is not an unprimeable number, because it can be changed into a prime (1202040300047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640780 + ... + 1677700.

Almost surely, 21202040300040 is an apocalyptic number.

1202040300040 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 1202040300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374274203480).

1202040300040 is an abundant number, since it is smaller than the sum of its proper divisors (1546508106920).

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

1202040300040 is a wasteful number, since it uses less digits than its factorization.

1202040300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037402 (or 1037398 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1202040300040 its reverse (400030402021), we get a palindrome (1602070702061).

The spelling of 1202040300040 in words is "one trillion, two hundred two billion, forty million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 397 584 730 794 1460 1588 1985 2920 3176 3970 7940 15880 28981 57962 115924 144905 231848 289810 579620 1036921 1159240 2073842 4147684 5184605 8295368 10369210 20738420 41476840 75695233 151390466 302780932 378476165 411657637 605561864 756952330 823315274 1513904660 1646630548 2058288185 3027809320 3293261096 4116576370 8233152740 16466305480 30051007501 60102015002 120204030004 150255037505 240408060008 300510075010 601020150020 1202040300040