Search a number
-
+
4451453354040 = 2335711481759021
BaseRepresentation
bin100000011000110111101…
…0010111100000000111000
3120202112222102211021111020
41000301233102330000320
51040413034024312130
613244545222102440
7636415110126510
oct100615722740070
916675872737436
104451453354040
11146693a407460
125ba87a87aa20
13263a023161a4
14115646c72840
157abd4b2be10
hex40c6f4bc038

4451453354040 has 128 divisors (see below), whose sum is σ = 16649591800320. Its totient is φ = 924977318400.

The previous prime is 4451453354017. The next prime is 4451453354053. The reversal of 4451453354040 is 404533541544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4451453353983 and 4451453354001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240870271 + ... + 240888750.

It is an arithmetic number, because the mean of its divisors is an integer number (130074935940).

Almost surely, 24451453354040 is an apocalyptic number.

4451453354040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4451453354040 is an abundant number, since it is smaller than the sum of its proper divisors (12198138446280).

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

4451453354040 is a wasteful number, since it uses less digits than its factorization.

4451453354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481759053 (or 481759049 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 4451453354040 its reverse (404533541544), we get a palindrome (4855986895584).

The spelling of 4451453354040 in words is "four trillion, four hundred fifty-one billion, four hundred fifty-three million, three hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 481759021 963518042 1445277063 1927036084 2408795105 2890554126 3372313147 3854072168 4817590210 5299349231 5781108252 6744626294 7226385315 9635180420 10116939441 10598698462 11562216504 13489252588 14452770630 15898047693 16861565735 19270360840 20233878882 21197396924 26496746155 26978505176 28905541260 31796095386 33723131470 37095444617 40467757764 42394793848 50584697205 52993492310 57811082520 63592190772 67446262940 74190889234 79490238465 80935515528 101169394410 105986984620 111286333851 127184381544 134892525880 148381778468 158980476930 185477223085 202338788820 211973969240 222572667702 296763556936 317960953860 370954446170 404677577640 445145335404 556431669255 635921907720 741908892340 890290670808 1112863338510 1483817784680 2225726677020 4451453354040