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1000134201440 = 25511568258069
BaseRepresentation
bin11101000110111001010…
…01001101000001100000
310112121112001221120020202
432203130221031001200
5112341233323421230
62043242202524332
7132154154305613
oct16433451150140
93477461846222
101000134201440
11356177757480
121419bab066a8
137340a02578a
143659a1bc17a
151b038424a45
hexe8dca4d060

1000134201440 has 48 divisors (see below), whose sum is σ = 2577618605520. Its totient is φ = 363685163520.

The previous prime is 1000134201427. The next prime is 1000134201481. The reversal of 1000134201440 is 441024310001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284127275 + ... + 284130794.

It is an arithmetic number, because the mean of its divisors is an integer number (53700387615).

Almost surely, 21000134201440 is an apocalyptic number.

1000134201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000134201440 is an abundant number, since it is smaller than the sum of its proper divisors (1577484404080).

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

1000134201440 is a wasteful number, since it uses less digits than its factorization.

1000134201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568258095 (or 568258087 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1000134201440 its reverse (441024310001), we get a palindrome (1441158511441).

The spelling of 1000134201440 in words is "one trillion, one hundred thirty-four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 568258069 1136516138 2273032276 2841290345 4546064552 5682580690 6250838759 9092129104 11365161380 12501677518 18184258208 22730322760 25003355036 31254193795 45460645520 50006710072 62508387590 90921291040 100013420144 125016775180 200026840288 250033550360 500067100720 1000134201440