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1400144332000 = 2553886139503
BaseRepresentation
bin10100010111111111000…
…110110000010011100000
311221212000110120121202111
4110113333012300103200
5140414443422111000
62551114544125104
7203104611312031
oct24277706602340
94855013517674
101400144332000
1149a885a79037
121a7435606794
13a205779cc1b
144baa585aa88
152664ab6ecba
hex145ff1b04e0

1400144332000 has 96 divisors (see below), whose sum is σ = 3440629954944. Its totient is φ = 559980352000.

The previous prime is 1400144331991. The next prime is 1400144332001. The reversal of 1400144332000 is 2334410041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400144332001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35424249 + ... + 35463751.

It is an arithmetic number, because the mean of its divisors is an integer number (35839895364).

Almost surely, 21400144332000 is an apocalyptic number.

1400144332000 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 1400144332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720314977472).

1400144332000 is an abundant number, since it is smaller than the sum of its proper divisors (2040485622944).

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

1400144332000 is an equidigital number, since it uses as much as digits as its factorization.

1400144332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48389 (or 48371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1400144332000 its reverse (2334410041), we get a palindrome (1402478742041).

The spelling of 1400144332000 in words is "one trillion, four hundred billion, one hundred forty-four million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 8861 17722 35444 39503 44305 70888 79006 88610 141776 158012 177220 197515 221525 283552 316024 354440 395030 443050 632048 708880 790060 886100 987575 1107625 1264096 1417760 1580120 1772200 1975150 2215250 3160240 3544400 3950300 4430500 4937875 6320480 7088800 7900600 8861000 9875750 15801200 17722000 19751500 31602400 35444000 39503000 79006000 158012000 350036083 700072166 1400144332 1750180415 2800288664 3500360830 5600577328 7000721660 8750902075 11201154656 14001443320 17501804150 28002886640 35003608300 43754510375 56005773280 70007216600 87509020750 140014433200 175018041500 280028866400 350036083000 700072166000 1400144332000