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1041200064160 = 2559771099437
BaseRepresentation
bin11110010011011000101…
…11000010011010100000
310200112112000121112112021
433021230113002122200
5114024334204023120
62114153134511224
7135136623343114
oct17115427023240
93615460545467
101041200064160
113716303239a3
1214995b965514
1377252b65829
143857415d744
151c13d79caaa
hexf26c5c26a0

1041200064160 has 96 divisors (see below), whose sum is σ = 2485807243920. Its totient is φ = 412084764672.

The previous prime is 1041200064139. The next prime is 1041200064167. The reversal of 1041200064160 is 614600021401.

It can be written as a sum of positive squares in 8 ways, for example, as 261984280336 + 779215783824 = 511844^2 + 882732^2 .

It is not an unprimeable number, because it can be changed into a prime (1041200064167) 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, 110326962 + ... + 110336398.

Almost surely, 21041200064160 is an apocalyptic number.

1041200064160 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 1041200064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242903621960).

1041200064160 is an abundant number, since it is smaller than the sum of its proper divisors (1444607179760).

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

1041200064160 is an equidigital number, since it uses as much as digits as its factorization.

1041200064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16658 (or 16650 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1041200064160 its reverse (614600021401), we get a palindrome (1655800085561).

The spelling of 1041200064160 in words is "one trillion, forty-one billion, two hundred million, sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7109 7760 9437 14218 15520 18874 28436 35545 37748 47185 56872 71090 75496 94370 113744 142180 150992 188740 227488 284360 301984 377480 568720 689573 754960 915389 1137440 1379146 1509920 1830778 2758292 3447865 3661556 4576945 5516584 6895730 7323112 9153890 11033168 13791460 14646224 18307780 22066336 27582920 29292448 36615560 55165840 67087633 73231120 110331680 134175266 146462240 268350532 335438165 536701064 670876330 1073402128 1341752660 2146804256 2683505320 5367010640 6507500401 10734021280 13015000802 26030001604 32537502005 52060003208 65075004010 104120006416 130150008020 208240012832 260300016040 520600032080 1041200064160