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1022440300440 = 2335131634020923
BaseRepresentation
bin11101110000011100011…
…00001101111110011000
310121202002121210210121120
432320032030031332120
5113222424204103230
62101411432005240
7133604011105326
oct16701614157630
93552077723546
101022440300440
11364683992839
121461a5230820
13755533cc620
14376b487cd16
151b8e1869310
hexee0e30df98

1022440300440 has 128 divisors (see below), whose sum is σ = 3323534941440. Its totient is φ = 250133515776.

The previous prime is 1022440300373. The next prime is 1022440300451. The reversal of 1022440300440 is 440030442201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1022440300440.

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, 1756182 + ... + 2264741.

It is an arithmetic number, because the mean of its divisors is an integer number (25965116730).

Almost surely, 21022440300440 is an apocalyptic number.

1022440300440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022440300440 is an abundant number, since it is smaller than the sum of its proper divisors (2301094641000).

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

1022440300440 is a wasteful number, since it uses less digits than its factorization.

1022440300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021113 (or 4021109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1022440300440 its reverse (440030442201), we get a palindrome (1462470742641).

The spelling of 1022440300440 in words is "one trillion, twenty-two billion, four hundred forty million, three hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 163 195 260 312 326 390 489 520 652 780 815 978 1304 1560 1630 1956 2119 2445 3260 3912 4238 4890 6357 6520 8476 9780 10595 12714 16952 19560 21190 25428 31785 42380 50856 63570 84760 127140 254280 4020923 8041846 12062769 16083692 20104615 24125538 32167384 40209230 48251076 52271999 60313845 80418460 96502152 104543998 120627690 156815997 160836920 209087996 241255380 261359995 313631994 418175992 482510760 522719990 627263988 655410449 784079985 1045439980 1254527976 1310820898 1568159970 1966231347 2090879960 2621641796 3136319940 3277052245 3932462694 5243283592 6272639880 6554104490 7864925388 8520335837 9831156735 13108208980 15729850776 17040671674 19662313470 25561007511 26216417960 34081343348 39324626940 42601679185 51122015022 68162686696 78649253880 85203358370 102244030044 127805037555 170406716740 204488060088 255610075110 340813433480 511220150220 1022440300440