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1441130312220 = 2235373190733767
BaseRepresentation
bin10100111110001010000…
…011110111001000011100
312002202210211221010211220
4110332022003313020130
5142102413324442340
63022013544013340
7206055360352524
oct24761203671034
95082724833756
101441130312220
115061a8544665
121b3373761250
13a5b89bc1221
144da72d66684
1527748eb8ed0
hex14f8a0f721c

1441130312220 has 96 divisors (see below), whose sum is σ = 4048224542208. Its totient is φ = 383058792192.

The previous prime is 1441130312179. The next prime is 1441130312227. The reversal of 1441130312220 is 222130311441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441130312227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42661777 + ... + 42695543.

It is an arithmetic number, because the mean of its divisors is an integer number (42169005648).

Almost surely, 21441130312220 is an apocalyptic number.

1441130312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441130312220 is an abundant number, since it is smaller than the sum of its proper divisors (2607094229988).

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

1441130312220 is a wasteful number, since it uses less digits than its factorization.

1441130312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36059 (or 36057 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1441130312220 its reverse (222130311441), we get a palindrome (1663260623661).

The spelling of 1441130312220 in words is "one trillion, four hundred forty-one billion, one hundred thirty million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 373 746 1119 1492 1865 1907 2238 3730 3814 4476 5595 5721 7460 7628 9535 11190 11442 19070 22380 22884 28605 33767 38140 57210 67534 101301 114420 135068 168835 202602 337670 405204 506505 675340 711311 1013010 1422622 2026020 2133933 2845244 3556555 4267866 7113110 8535732 10669665 12595091 14226220 21339330 25190182 37785273 42678660 50380364 62975455 64393669 75570546 125950910 128787338 151141092 188926365 193181007 251901820 257574676 321968345 377852730 386362014 643936690 755705460 772724028 965905035 1287873380 1931810070 3863620140 24018838537 48037677074 72056515611 96075354148 120094192685 144113031222 240188385370 288226062444 360282578055 480376770740 720565156110 1441130312220