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4401134417688 = 2331719483553667
BaseRepresentation
bin100000000001011100000…
…0011011011011100011000
3120120202002121212110102220
41000002320003123130120
51034102010402331223
613205504144424040
7632654133205251
oct100027003333430
916522077773386
104401134417688
111447568706848
125b0b77018020
1325c043478438
1411303203db28
157973c2876e3
hex400b80db718

4401134417688 has 64 divisors (see below), whose sum is σ = 11650680696960. Its totient is φ = 1380674689536.

The previous prime is 4401134417623. The next prime is 4401134417723. The reversal of 4401134417688 is 8867144311044.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4401134417688.

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, 7672231 + ... + 8225897.

It is an arithmetic number, because the mean of its divisors is an integer number (182041885890).

Almost surely, 24401134417688 is an apocalyptic number.

It is an amenable number.

4401134417688 is an abundant number, since it is smaller than the sum of its proper divisors (7249546279272).

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

4401134417688 is a wasteful number, since it uses less digits than its factorization.

4401134417688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573176 (or 573172 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 4401134417688 in words is "four trillion, four hundred one billion, one hundred thirty-four million, four hundred seventeen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 19483 38966 58449 77932 116898 155864 233796 331211 467592 553667 662422 993633 1107334 1324844 1661001 1987266 2214668 2649688 3322002 3974532 4429336 6644004 7949064 9412339 13288008 18824678 28237017 37649356 56474034 75298712 112948068 225896136 10787094161 21574188322 32361282483 43148376644 64722564966 86296753288 129445129932 183380600737 258890259864 366761201474 550141802211 733522402948 1100283604422 1467044805896 2200567208844 4401134417688