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413025041440 = 25511733214703
BaseRepresentation
bin1100000001010100011…
…01011111110000100000
31110111002102111000212001
412000222031133300200
523231333402311230
6513424024013344
741561100632524
oct6005215376040
91414072430761
10413025041440
1114a187960860
1268069301254
132cc42c6a05b
1415dc1da9d84
15ab251450ca
hex602a35fc20

413025041440 has 96 divisors (see below), whose sum is σ = 1079060403456. Its totient is φ = 148133468160.

The previous prime is 413025041437. The next prime is 413025041449. The reversal of 413025041440 is 44140520314.

It is a junction number, because it is equal to n+sod(n) for n = 413025041399 and 413025041408.

It is not an unprimeable number, because it can be changed into a prime (413025041449) 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, 1478872 + ... + 1735831.

It is an arithmetic number, because the mean of its divisors is an integer number (11240212536).

Almost surely, 2413025041440 is an apocalyptic number.

413025041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413025041440 is an abundant number, since it is smaller than the sum of its proper divisors (666035362016).

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

413025041440 is a wasteful number, since it uses less digits than its factorization.

413025041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214802 (or 3214794 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 413025041440 its reverse (44140520314), we get a palindrome (457165561754).

The spelling of 413025041440 in words is "four hundred thirteen billion, twenty-five million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 73 80 88 110 146 160 176 220 292 352 365 440 584 730 803 880 1168 1460 1606 1760 2336 2920 3212 4015 5840 6424 8030 11680 12848 16060 25696 32120 64240 128480 3214703 6429406 12858812 16073515 25717624 32147030 35361733 51435248 64294060 70723466 102870496 128588120 141446932 176808665 234673319 257176240 282893864 353617330 469346638 514352480 565787728 707234660 938693276 1131575456 1173366595 1414469320 1877386552 2346733190 2581406509 2828938640 3754773104 4693466380 5162813018 5657877280 7509546208 9386932760 10325626036 12907032545 18773865520 20651252072 25814065090 37547731040 41302504144 51628130180 82605008288 103256260360 206512520720 413025041440