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1140848291025 = 325231222972
BaseRepresentation
bin10000100110011111110…
…110110110110011010001
311001001201200022221202100
4100212133312312303101
5122142424130303100
62232033134111013
7145265166321012
oct20463766666321
94031650287670
101140848291025
113aa9161336a3
1216512b94b469
138377381ac91
143d3085b1009
151ea21b9d400
hex1099fdb6cd1

1140848291025 has 81 divisors (see below), whose sum is σ = 2112347652753. Its totient is φ = 588568579200.

The previous prime is 1140848290997. The next prime is 1140848291041. The reversal of 1140848291025 is 5201928480411.

The square root of 1140848291025 is 1068105.

It is a perfect power (a square), and thus also a powerful number.

1140848291025 is a `hidden beast` number, since 1 + 140 + 8 + 482 + 9 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33327788481 + 1107520502544 = 182559^2 + 1052388^2 .

It is not a de Polignac number, because 1140848291025 - 229 = 1140311420113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 496667677 + ... + 496669973.

Almost surely, 21140848291025 is an apocalyptic number.

1140848291025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1140848291025 is the 1068105-th square number.

1140848291025 is the 534053-rd centered octagonal number.

It is an amenable number.

1140848291025 is a deficient number, since it is larger than the sum of its proper divisors (971499361728).

1140848291025 is an frugal number, since it uses more digits than its factorization.

1140848291025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1140848291025 in words is "one trillion, one hundred forty billion, eight hundred forty-eight million, two hundred ninety-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 961 1395 2297 2325 2883 4805 6891 6975 8649 11485 14415 20673 24025 34455 43245 57425 71207 72075 103365 172275 213621 216225 356035 516825 640863 1068105 1780175 2207417 3204315 5276209 5340525 6622251 11037085 15828627 16021575 19866753 26381045 33111255 47485881 55185425 79143135 99333765 131905225 163562479 165556275 237429405 395715675 490687437 496668825 817812395 1187147025 1472062311 2453437185 4089061975 5070436849 7360311555 12267185925 15211310547 25352184245 36801557775 45633931641 76056552735 126760921225 228169658205 380282763675 1140848291025