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1114104310400 = 2752607573571
BaseRepresentation
bin10000001101100101110…
…010101010101010000000
310221111200211210222021102
4100031211302222222000
5121223141200413100
62211451253513532
7143330354250014
oct20154562525200
93844624728242
101114104310400
1139a541925174
1215bb073428a8
13810a0ba9883
143bccc774544
151dea8d3acd5
hex10365caaa80

1114104310400 has 96 divisors (see below), whose sum is σ = 2756724689280. Its totient is φ = 444906777600.

The previous prime is 1114104310379. The next prime is 1114104310421. The reversal of 1114104310400 is 40134014111.

It is an interprime number because it is at equal distance from previous prime (1114104310379) and next prime (1114104310421).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1655615 + ... + 2229185.

It is an arithmetic number, because the mean of its divisors is an integer number (28715882180).

Almost surely, 21114104310400 is an apocalyptic number.

1114104310400 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 1114104310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378362344640).

1114104310400 is an abundant number, since it is smaller than the sum of its proper divisors (1642620378880).

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

1114104310400 is an equidigital number, since it uses as much as digits as its factorization.

1114104310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574202 (or 574185 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1114104310400 its reverse (40134014111), we get a palindrome (1154238324511).

The spelling of 1114104310400 in words is "one trillion, one hundred fourteen billion, one hundred four million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 607 640 800 1214 1600 2428 3035 3200 4856 6070 9712 12140 15175 19424 24280 30350 38848 48560 60700 77696 97120 121400 194240 242800 388480 485600 573571 971200 1147142 1942400 2294284 2867855 4588568 5735710 9177136 11471420 14339275 18354272 22942840 28678550 36708544 45885680 57357100 73417088 91771360 114714200 183542720 229428400 348157597 367085440 458856800 696315194 917713600 1392630388 1740787985 1835427200 2785260776 3481575970 5570521552 6963151940 8703939925 11141043104 13926303880 17407879850 22282086208 27852607760 34815759700 44564172416 55705215520 69631519400 111410431040 139263038800 222820862080 278526077600 557052155200 1114104310400