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1144214142400 = 26527102161977
BaseRepresentation
bin10000101001101000011…
…110100011110111000000
311001101102020202220211101
4100221220132203313000
5122221322310024100
62233351132024144
7145444456510540
oct20515036436700
94041366686741
101144214142400
1140129306564a
1216590b002054
1383b8bc48704
143d54760d320
151eb6c40c86a
hex10a687a3dc0

1144214142400 has 84 divisors (see below), whose sum is σ = 3217693659088. Its totient is φ = 392301987840.

The previous prime is 1144214142361. The next prime is 1144214142427. The reversal of 1144214142400 is 42414124411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 51069789 + ... + 51092188.

Almost surely, 21144214142400 is an apocalyptic number.

1144214142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144214142400 is an abundant number, since it is smaller than the sum of its proper divisors (2073479516688).

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

1144214142400 is a wasteful number, since it uses less digits than its factorization.

1144214142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102162006 (or 102161991 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1144214142400 its reverse (42414124411), we get a palindrome (1186628266811).

The spelling of 1144214142400 in words is "one trillion, one hundred forty-four billion, two hundred fourteen million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 102161977 204323954 408647908 510809885 715133839 817295816 1021619770 1430267678 1634591632 2043239540 2554049425 2860535356 3269183264 3575669195 4086479080 5108098850 5721070712 6538366528 7151338390 8172958160 10216197700 11442141424 14302676780 16345916320 17878345975 20432395400 22884282848 28605353560 32691832640 35756691950 40864790800 45768565696 57210707120 71513383900 81729581600 114421414240 143026767800 163459163200 228842828480 286053535600 572107071200 1144214142400