Search a number
-
+
1074139406720 = 2752237526201
BaseRepresentation
bin11111010000101111011…
…00101010000110000000
310210200112121210111212122
433220113230222012000
5120044314142003340
62141241451143412
7140414114211602
oct17502754520600
93720477714778
101074139406720
113845a3768556
12154213144b68
137a3a2194b83
1439dbab01172
151ce1a487db5
hexfa17b2a180

1074139406720 has 64 divisors (see below), whose sum is σ = 2579379949440. Its totient is φ = 427728998400.

The previous prime is 1074139406719. The next prime is 1074139406741. The reversal of 1074139406720 is 276049314701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10741394067203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3620381 + ... + 3905820.

It is an arithmetic number, because the mean of its divisors is an integer number (40302811710).

Almost surely, 21074139406720 is an apocalyptic number.

1074139406720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074139406720 is an abundant number, since it is smaller than the sum of its proper divisors (1505240542720).

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

1074139406720 is an equidigital number, since it uses as much as digits as its factorization.

1074139406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526443 (or 7526431 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 1074139406720 in words is "one trillion, seventy-four billion, one hundred thirty-nine million, four hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 320 446 640 892 1115 1784 2230 3568 4460 7136 8920 14272 17840 28544 35680 71360 142720 7526201 15052402 30104804 37631005 60209608 75262010 120419216 150524020 240838432 301048040 481676864 602096080 963353728 1204192160 1678342823 2408384320 3356685646 4816768640 6713371292 8391714115 13426742584 16783428230 26853485168 33566856460 53706970336 67133712920 107413940672 134267425840 214827881344 268534851680 537069703360 1074139406720