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1120143432400 = 24522996564089
BaseRepresentation
bin10000010011001101110…
…000000101101011010000
310222002021201111011020121
4100103031300011223100
5121323023204314100
62214330425120024
7143633125035466
oct20231560055320
93862251434217
101120143432400
113a2060846993
12161111929014
13818240c2645
143c302848836
151e20e10051a
hex104cdc05ad0

1120143432400 has 60 divisors (see below), whose sum is σ = 2783942714700. Its totient is φ = 432607114240.

The previous prime is 1120143432301. The next prime is 1120143432409. The reversal of 1120143432400 is 42343410211.

It can be written as a sum of positive squares in 6 ways, for example, as 2589995664 + 1117553436736 = 50892^2 + 1057144^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120143432409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48270445 + ... + 48293644.

It is an arithmetic number, because the mean of its divisors is an integer number (46399045245).

Almost surely, 21120143432400 is an apocalyptic number.

1120143432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120143432400 is an abundant number, since it is smaller than the sum of its proper divisors (1663799282300).

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

1120143432400 is a wasteful number, since it uses less digits than its factorization.

1120143432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96564136 (or 96564125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1120143432400 its reverse (42343410211), we get a palindrome (1162486842611).

The spelling of 1120143432400 in words is "one trillion, one hundred twenty billion, one hundred forty-three million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 96564089 193128178 386256356 482820445 772512712 965640890 1545025424 1931281780 2414102225 2800358581 3862563560 4828204450 5600717162 7725127120 9656408900 11201434324 14001792905 19312817800 22402868648 28003585810 38625635600 44805737296 56007171620 70008964525 112014343240 140017929050 224028686480 280035858100 560071716200 1120143432400