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23231104431440 = 2457314926697509
BaseRepresentation
bin1010100100000111010011…
…01110100011010101010000
310001020212112121111022002112
411102003221232203111100
511021104300213301230
6121224115543404452
74615251265362413
oct522035156432520
9101225477438075
1023231104431440
11744728a8aa6a4
122732415a53728
13cc68b726a909
145a456a213b7a
152a44635d6d95
hex1520e9ba3550

23231104431440 has 80 divisors (see below), whose sum is σ = 55119679146000. Its totient is φ = 9103636647936.

The previous prime is 23231104431427. The next prime is 23231104431463. The reversal of 23231104431440 is 4413440113232.

It can be written as a sum of positive squares in 8 ways, for example, as 1068213199936 + 22162891231504 = 1033544^2 + 4707748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 23231104431397 and 23231104431406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12478595 + ... + 14218914.

It is an arithmetic number, because the mean of its divisors is an integer number (688995989325).

Almost surely, 223231104431440 is an apocalyptic number.

23231104431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231104431440 is an abundant number, since it is smaller than the sum of its proper divisors (31888574714560).

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

23231104431440 is a wasteful number, since it uses less digits than its factorization.

23231104431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26697744 (or 26697738 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 23231104431440 its reverse (4413440113232), we get a palindrome (27644544544672).

The spelling of 23231104431440 in words is "twenty-three trillion, two hundred thirty-one billion, one hundred four million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 149 292 298 365 584 596 730 745 1168 1192 1460 1490 2384 2920 2980 5840 5960 10877 11920 21754 43508 54385 87016 108770 174032 217540 435080 870160 26697509 53395018 106790036 133487545 213580072 266975090 427160144 533950180 1067900360 1948918157 2135800720 3897836314 3977928841 7795672628 7955857682 9744590785 15591345256 15911715364 19489181570 19889644205 31182690512 31823430728 38978363140 39779288410 63646861456 77956726280 79558576820 155913452560 159117153640 290388805393 318234307280 580777610786 1161555221572 1451944026965 2323110443144 2903888053930 4646220886288 5807776107860 11615552215720 23231104431440