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31421443440 = 2435648120201
BaseRepresentation
bin11101010000110111…
…010010110101110000
310000002210222201012110
4131100313102311300
51003322342142230
622233530325320
72161436601552
oct352067226560
9100083881173
1031421443440
1112364649582
12610ab89840
132c69a10caa
14174113d4d2
15c3d8074b0
hex750dd2d70

31421443440 has 80 divisors (see below), whose sum is σ = 97426326816. Its totient is φ = 8377344000.

The previous prime is 31421443433. The next prime is 31421443441. The reversal of 31421443440 is 4434412413.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31421443398 and 31421443407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421443441) 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, 1545340 + ... + 1565540.

Almost surely, 231421443440 is an apocalyptic number.

31421443440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31421443440 is an abundant number, since it is smaller than the sum of its proper divisors (66004883376).

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

31421443440 is a wasteful number, since it uses less digits than its factorization.

31421443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26698 (or 26692 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31421443440 its reverse (4434412413), we get a palindrome (35855855853).

The spelling of 31421443440 in words is "thirty-one billion, four hundred twenty-one million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6481 12962 19443 20201 25924 32405 38886 40402 51848 60603 64810 77772 80804 97215 101005 103696 121206 129620 155544 161608 194430 202010 242412 259240 303015 311088 323216 388860 404020 484824 518480 606030 777720 808040 969648 1212060 1555440 1616080 2424120 4848240 130922681 261845362 392768043 523690724 654613405 785536086 1047381448 1309226810 1571072172 1963840215 2094762896 2618453620 3142144344 3927680430 5236907240 6284288688 7855360860 10473814480 15710721720 31421443440