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312403113020440 = 235132424724777301
BaseRepresentation
bin100011100001000010000010…
…0100101000000110000011000
31111222010110001002021212212201
41013002010010211000300120
5311421403033413123230
63024232001525215544
7122542244240601001
oct10702040445006030
91458113032255781
10312403113020440
11905a5463a70a92
122b0559965615b4
1310541644369360
145720569c001a8
15261b4c65e45ca
hex11c2104940c18

312403113020440 has 64 divisors (see below), whose sum is σ = 757008023808960. Its totient is φ = 115344079833600.

The previous prime is 312403113020267. The next prime is 312403113020459. The reversal of 312403113020440 is 44020311304213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312403113020399 and 312403113020408.

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, 219790 + ... + 24997090.

It is an arithmetic number, because the mean of its divisors is an integer number (11828250372015).

Almost surely, 2312403113020440 is an apocalyptic number.

It is an amenable number.

312403113020440 is an abundant number, since it is smaller than the sum of its proper divisors (444604910788520).

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

312403113020440 is a wasteful number, since it uses less digits than its factorization.

312403113020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24801572 (or 24801568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312403113020440 its reverse (44020311304213), we get a palindrome (356423424324653).

The spelling of 312403113020440 in words is "three hundred twelve trillion, four hundred three billion, one hundred thirteen million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 24247 48494 96988 121235 193976 242470 315211 484940 630422 969880 1260844 1576055 2521688 3152110 6304220 12608440 24777301 49554602 99109204 123886505 198218408 247773010 322104913 495546020 644209826 991092040 1288419652 1610524565 2576839304 3221049130 6442098260 12884196520 600775217347 1201550434694 2403100869388 3003876086735 4806201738776 6007752173470 7810077825511 12015504346940 15620155651022 24031008693880 31240311302044 39050389127555 62480622604088 78100778255110 156201556510220 312403113020440