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1020230144440 = 235132277754347
BaseRepresentation
bin11101101100010100111…
…01001001000110111000
310121112101121000020112221
432312022131021012320
5113203412404110230
62100404240413424
7133465153066663
oct16661235110670
93545347006487
101020230144440
1136374a356931
12145889017274
1375290553400
143754511a6da
151b8127e327a
hexed8a7491b8

1020230144440 has 96 divisors (see below), whose sum is σ = 2486619913680. Its totient is φ = 376557782016.

The previous prime is 1020230144431. The next prime is 1020230144449. The reversal of 1020230144440 is 444410320201.

1020230144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020230144431) and next prime (1020230144449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020230144449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18745347 + ... + 18799693.

Almost surely, 21020230144440 is an apocalyptic number.

1020230144440 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 1020230144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243309956840).

1020230144440 is an abundant number, since it is smaller than the sum of its proper divisors (1466389769240).

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

1020230144440 is a wasteful number, since it uses less digits than its factorization.

1020230144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57161 (or 57144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1020230144440 its reverse (444410320201), we get a palindrome (1464640464641).

The spelling of 1020230144440 in words is "one trillion, twenty billion, two hundred thirty million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 2777 3380 5554 6760 11108 13885 22216 27770 36101 54347 55540 72202 108694 111080 144404 180505 217388 271735 288808 361010 434776 469313 543470 706511 722020 938626 1086940 1413022 1444040 1877252 2173880 2346565 2826044 3532555 3754504 4693130 5652088 7065110 9184643 9386260 14130220 18369286 18772520 28260440 36738572 45923215 73477144 91846430 150921619 183692860 301843238 367385720 603686476 754608095 1207372952 1509216190 1961981047 3018432380 3923962094 6036864760 7847924188 9809905235 15695848376 19619810470 25505753611 39239620940 51011507222 78479241880 102023014444 127528768055 204046028888 255057536110 510115072220 1020230144440