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1135243504000 = 2753277256147
BaseRepresentation
bin10000100001010001110…
…010010010100110000000
311000112021001221021100201
4100201101302102212000
5122044434314112000
62225305040054544
7145006251366034
oct20412162224600
94015231837321
101135243504000
113a84aa3a9201
12164026904454
138308c5a8958
143cd3607c1c4
151e7e4ad096a
hex10851c92980

1135243504000 has 128 divisors (see below), whose sum is σ = 2832699748320. Its totient is φ = 452456294400.

The previous prime is 1135243503973. The next prime is 1135243504007. The reversal of 1135243504000 is 4053425311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1135243504000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135243504007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4303927 + ... + 4560073.

Almost surely, 21135243504000 is an apocalyptic number.

1135243504000 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 1135243504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416349874160).

1135243504000 is an abundant number, since it is smaller than the sum of its proper divisors (1697456244320).

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

1135243504000 is an equidigital number, since it uses as much as digits as its factorization.

1135243504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256453 (or 256431 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 1135243504000 its reverse (4053425311), we get a palindrome (1139296929311).

The spelling of 1135243504000 in words is "one trillion, one hundred thirty-five billion, two hundred forty-three million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 277 320 400 500 554 640 800 1000 1108 1385 1600 2000 2216 2770 3200 4000 4432 5540 6925 8000 8864 11080 13850 16000 17728 22160 27700 34625 35456 44320 55400 69250 88640 110800 138500 177280 221600 256147 277000 443200 512294 554000 886400 1024588 1108000 1280735 2049176 2216000 2561470 4098352 4432000 5122940 6403675 8196704 10245880 12807350 16393408 20491760 25614700 32018375 32786816 40983520 51229400 64036750 70952719 81967040 102458800 128073500 141905438 163934080 204917600 256147000 283810876 354763595 409835200 512294000 567621752 709527190 819670400 1024588000 1135243504 1419054380 1773817975 2049176000 2270487008 2838108760 3547635950 4098352000 4540974016 5676217520 7095271900 8869089875 9081948032 11352435040 14190543800 17738179750 22704870080 28381087600 35476359500 45409740160 56762175200 70952719000 113524350400 141905438000 227048700800 283810876000 567621752000 1135243504000