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2241414043344 = 2432719117032897
BaseRepresentation
bin100000100111011110101…
…100000001011011010000
321221021110222221220202200
4200213132230001123100
5243210403443341334
64433405201443200
7320636221005150
oct40473654013320
97837428856680
102241414043344
1179463a880793
12302499040500
13133497890628
147a6b0c68760
153d487154799
hex209deb016d0

2241414043344 has 120 divisors (see below), whose sum is σ = 7546281263040. Its totient is φ = 606698532864.

The previous prime is 2241414043321. The next prime is 2241414043357. The reversal of 2241414043344 is 4433404141422.

2241414043344 is a `hidden beast` number, since 2 + 2 + 4 + 141 + 40 + 433 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2241414043299 and 2241414043308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58497297 + ... + 58535600.

It is an arithmetic number, because the mean of its divisors is an integer number (62885677192).

Almost surely, 22241414043344 is an apocalyptic number.

2241414043344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241414043344 is an abundant number, since it is smaller than the sum of its proper divisors (5304867219696).

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

2241414043344 is a wasteful number, since it uses less digits than its factorization.

2241414043344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117032937 (or 117032928 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2241414043344 its reverse (4433404141422), we get a palindrome (6674818184766).

The spelling of 2241414043344 in words is "two trillion, two hundred forty-one billion, four hundred fourteen million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 117032897 234065794 351098691 468131588 702197382 819230279 936263176 1053296073 1404394764 1638460558 1872526352 2106592146 2223625043 2457690837 2808789528 3276921116 4213184292 4447250086 4915381674 5617579056 6553842232 6670875129 7373072511 8426368584 8894500172 9830763348 13107684464 13341750258 14746145022 15565375301 16852737168 17789000344 19661526696 20012625387 26683500516 29492290044 31130750602 35578000688 39323053392 40025250774 46696125903 53367001032 58984580088 62261501204 80050501548 93392251806 106734002064 117969160176 124523002408 140088377709 160101003096 186784503612 249046004816 280176755418 320202006192 373569007224 560353510836 747138014448 1120707021672 2241414043344