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2343120515040 = 25354881501073
BaseRepresentation
bin100010000110001100110…
…111011010111111100000
322022000000002122000002210
4202012030313122333200
5301342202322440130
64552225324242120
7331166465521614
oct42061467327740
98260002560083
102343120515040
1182379149a278
1231a1423a0340
1313cc55aa4226
148159c7b7344
1540e3b0c05b0
hex2218cddafe0

2343120515040 has 48 divisors (see below), whose sum is σ = 7380829623888. Its totient is φ = 624832137216.

The previous prime is 2343120515009. The next prime is 2343120515059. The reversal of 2343120515040 is 405150213432.

2343120515040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2343120514989 and 2343120515007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2440750057 + ... + 2440751016.

It is an arithmetic number, because the mean of its divisors is an integer number (153767283831).

Almost surely, 22343120515040 is an apocalyptic number.

2343120515040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2343120515040 is an abundant number, since it is smaller than the sum of its proper divisors (5037709108848).

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

2343120515040 is a wasteful number, since it uses less digits than its factorization.

2343120515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881501091 (or 4881501083 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2343120515040 its reverse (405150213432), we get a palindrome (2748270728472).

The spelling of 2343120515040 in words is "two trillion, three hundred forty-three billion, one hundred twenty million, five hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4881501073 9763002146 14644503219 19526004292 24407505365 29289006438 39052008584 48815010730 58578012876 73222516095 78104017168 97630021460 117156025752 146445032190 156208034336 195260042920 234312051504 292890064380 390520085840 468624103008 585780128760 781040171680 1171560257520 2343120515040