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4431033420040 = 235891331393493
BaseRepresentation
bin100000001111010111000…
…1011000100100100001000
3120200121021100010011002101
41000132232023010210020
51040044224023420130
613231331052043144
7635063065425313
oct100365613044410
916617240104071
104431033420040
111459210937847
125b69201634b4
13261ac993a8c6
1411466acb797a
157a3dc0b11ca
hex407ae2c4908

4431033420040 has 64 divisors (see below), whose sum is σ = 10082710839600. Its totient is φ = 1752348229632.

The previous prime is 4431033420031. The next prime is 4431033420061. The reversal of 4431033420040 is 400243301344.

It can be written as a sum of positive squares in 8 ways, for example, as 115351253956 + 4315682166084 = 339634^2 + 2077422^2 .

It is a super-2 number, since 2×44310334200402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4431033419990 and 4431033420008.

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, 47347534 + ... + 47441026.

Almost surely, 24431033420040 is an apocalyptic number.

4431033420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431033420040 is an abundant number, since it is smaller than the sum of its proper divisors (5651677419560).

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

4431033420040 is a wasteful number, since it uses less digits than its factorization.

4431033420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106906 (or 106902 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4431033420040 its reverse (400243301344), we get a palindrome (4831276721384).

The spelling of 4431033420040 in words is "four trillion, four hundred thirty-one billion, thirty-three million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 13313 26626 53252 66565 93493 106504 133130 186986 266260 373972 467465 532520 747944 934930 1184857 1869860 2369714 3739720 4739428 5924285 8320877 9478856 11848570 16641754 23697140 33283508 41604385 47394280 66567016 83208770 166417540 332835080 1244672309 2489344618 4978689236 6223361545 9957378472 12446723090 24893446180 49786892360 110775835501 221551671002 443103342004 553879177505 886206684008 1107758355010 2215516710020 4431033420040