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2311440001400 = 2352412231264049
BaseRepresentation
bin100001101000101100100…
…011110110100101111000
322011222020020011011101202
4201220230203312211320
5300332312120021100
64525505541033332
7325665431560235
oct41505443664570
98158206134352
102311440001400
118113046924a2
12313b806b5848
13139c774c627a
147dc350ba78c
15401d4b917d5
hex21a2c8f6978

2311440001400 has 96 divisors (see below), whose sum is σ = 5529864816000. Its totient is φ = 897979699200.

The previous prime is 2311440001291. The next prime is 2311440001543. The reversal of 2311440001400 is 41000441132.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196576 + ... + 2460624.

It is an arithmetic number, because the mean of its divisors is an integer number (57602758500).

Almost surely, 22311440001400 is an apocalyptic number.

2311440001400 is a gapful number since it is divisible by the number (20) 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 2311440001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764932408000).

2311440001400 is an abundant number, since it is smaller than the sum of its proper divisors (3218424814600).

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

2311440001400 is a wasteful number, since it uses less digits than its factorization.

2311440001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264329 (or 1264320 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2311440001400 its reverse (41000441132), we get a palindrome (2352440442532).

The spelling of 2311440001400 in words is "two trillion, three hundred eleven billion, four hundred forty million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 223 328 410 446 820 892 1025 1115 1640 1784 2050 2230 4100 4460 5575 8200 8920 9143 11150 18286 22300 36572 44600 45715 73144 91430 182860 228575 365720 457150 914300 1264049 1828600 2528098 5056196 6320245 10112392 12640490 25280980 31601225 50561960 51826009 63202450 103652018 126404900 207304036 252809800 259130045 281882927 414608072 518260090 563765854 1036520180 1127531708 1295650225 1409414635 2073040360 2255063416 2591300450 2818829270 5182600900 5637658540 7047073175 10365201800 11275317080 11557200007 14094146350 23114400014 28188292700 46228800028 56376585400 57786000035 92457600056 115572000070 231144000140 288930000175 462288000280 577860000350 1155720000700 2311440001400