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1143400330400 = 25522949284497
BaseRepresentation
bin10000101000110111111…
…110000111010010100000
311001022022112102222122012
4100220313332013102200
5122213140441033100
62233134301132052
7145415345310026
oct20506776072240
94038275388565
101143400330400
11400a05750649
1216572255a028
1383a8c46ab53
143d4ab4ca716
151eb20c58135
hex10a37f874a0

1143400330400 has 72 divisors (see below), whose sum is σ = 2887578737820. Its totient is φ = 441589084160.

The previous prime is 1143400330361. The next prime is 1143400330409. The reversal of 1143400330400 is 40330043411.

It can be written as a sum of positive squares in 6 ways, for example, as 261010635664 + 882389694736 = 510892^2 + 939356^2 .

It is not an unprimeable number, because it can be changed into a prime (1143400330409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24619049 + ... + 24665448.

Almost surely, 21143400330400 is an apocalyptic number.

1143400330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143400330400 is an abundant number, since it is smaller than the sum of its proper divisors (1744178407420).

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

1143400330400 is a wasteful number, since it uses less digits than its factorization.

1143400330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49284546 (or 49284533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1143400330400 its reverse (40330043411), we get a palindrome (1183730373811).

The spelling of 1143400330400 in words is "one trillion, one hundred forty-three billion, four hundred million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 49284497 98568994 197137988 246422485 394275976 492844970 788551952 985689940 1232112425 1429250413 1577103904 1971379880 2464224850 2858500826 3942759760 4928449700 5717001652 7146252065 7885519520 9856899400 11434003304 14292504130 19713798800 22868006608 28585008260 35731260325 39427597600 45736013216 57170016520 71462520650 114340033040 142925041300 228680066080 285850082600 571700165200 1143400330400