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23404434440040 = 23325195043333323
BaseRepresentation
bin1010101001001010001010…
…00000000011111101101000
310001212102221021111001020200
411110211011000003331220
511031424240204040130
6121435503155152200
74633625463215433
oct524450500037550
9101772837431220
1023404434440040
1175038460a8595
12275bb298a5660
13100a04b082b94
145acad023881a
152a8c0a461760
hex154945003f68

23404434440040 has 96 divisors (see below), whose sum is σ = 76065030119520. Its totient is φ = 6241131794304.

The previous prime is 23404434440027. The next prime is 23404434440053. The reversal of 23404434440040 is 4004443440432.

23404434440040 is a `hidden beast` number, since 234 + 0 + 4 + 4 + 344 + 40 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (23404434440027) and next prime (23404434440053).

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 = 23404434439977 and 23404434440004.

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, 70048819 + ... + 70382141.

It is an arithmetic number, because the mean of its divisors is an integer number (792344063745).

Almost surely, 223404434440040 is an apocalyptic number.

23404434440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23404434440040 is an abundant number, since it is smaller than the sum of its proper divisors (52660595679480).

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

23404434440040 is a wasteful number, since it uses less digits than its factorization.

23404434440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528383 (or 528376 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 23404434440040 its reverse (4004443440432), we get a palindrome (27408877880472).

The spelling of 23404434440040 in words is "twenty-three trillion, four hundred four billion, four hundred thirty-four million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 195043 333323 390086 585129 666646 780172 975215 999969 1170258 1333292 1560344 1666615 1755387 1950430 1999938 2340516 2666584 2925645 2999907 3333230 3510774 3900860 3999876 4681032 4999845 5851290 5999814 6666460 7021548 7801720 7999752 8776935 9999690 11702580 11999628 13332920 14043096 14999535 17553870 19999380 23405160 23999256 29999070 35107740 39998760 59998140 70215480 119996280 65012317889 130024635778 195036953667 260049271556 325061589445 390073907334 520098543112 585110861001 650123178890 780147814668 975184768335 1170221722002 1300246357780 1560295629336 1950369536670 2340443444004 2600492715560 2925554305005 3900739073340 4680886888008 5851108610010 7801478146680 11702217220020 23404434440040