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344104220004440 = 23574091873003379
BaseRepresentation
bin100111000111101100000000…
…1110011001001000001011000
31200010101001010201220002011012
41032033120001303021001120
5330100300420310120230
63215503144002553052
7132323465232134330
oct11617300163110130
91603331121802135
10344104220004440
119a707864461035
1232715853068788
1311a00b7266888c
1460d8a399340c0
1529bae18ea2395
hex138f601cc9058

344104220004440 has 64 divisors (see below), whose sum is σ = 884841879916800. Its totient is φ = 117978262109568.

The previous prime is 344104220004409. The next prime is 344104220004463. The reversal of 344104220004440 is 44400022401443.

It is a junction number, because it is equal to n+sod(n) for n = 344104220004397 and 344104220004406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113070671 + ... + 116074049.

It is an arithmetic number, because the mean of its divisors is an integer number (13825654373700).

Almost surely, 2344104220004440 is an apocalyptic number.

It is an amenable number.

344104220004440 is an abundant number, since it is smaller than the sum of its proper divisors (540737659912360).

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

344104220004440 is a wasteful number, since it uses less digits than its factorization.

344104220004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412584 (or 3412580 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 344104220004440 its reverse (44400022401443), we get a palindrome (388504242405883).

The spelling of 344104220004440 in words is "three hundred forty-four trillion, one hundred four billion, two hundred twenty million, four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 409187 818374 1636748 2045935 2864309 3003379 3273496 4091870 5728618 6006758 8183740 11457236 12013516 14321545 15016895 16367480 21023653 22914472 24027032 28643090 30033790 42047306 57286180 60067580 84094612 105118265 114572360 120135160 168189224 210236530 420473060 840946120 1228943642873 2457887285746 4915774571492 6144718214365 8602605500111 9831549142984 12289436428730 17205211000222 24578872857460 34410422000444 43013027500555 49157745714920 68820844000888 86026055001110 172052110002220 344104220004440