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312032120334440 = 235113529200953219
BaseRepresentation
bin100011011110010101010001…
…1101100001110100001101000
31111220210222102222002202001212
41012330222203230032201220
5311344313240301200230
63023345324400332252
7122503401553026362
oct10674524354164150
91456728388082055
10312032120334440
11904720962a4a70
122abb5ab9914088
131051566c54704c
14570a6142bdd32
152611a115da895
hex11bcaa3b0e868

312032120334440 has 64 divisors (see below), whose sum is σ = 766114055928000. Its totient is φ = 113434072496640.

The previous prime is 312032120334427. The next prime is 312032120334527. The reversal of 312032120334440 is 44433021230213.

It is a super-2 number, since 2×3120321203344402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312032120334397 and 312032120334406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98923850 + ... + 102029369.

It is an arithmetic number, because the mean of its divisors is an integer number (11970532123875).

Almost surely, 2312032120334440 is an apocalyptic number.

It is an amenable number.

312032120334440 is an abundant number, since it is smaller than the sum of its proper divisors (454081935593560).

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

312032120334440 is a wasteful number, since it uses less digits than its factorization.

312032120334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200956770 (or 200956766 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 312032120334440 its reverse (44433021230213), we get a palindrome (356465141564653).

The spelling of 312032120334440 in words is "three hundred twelve trillion, thirty-two billion, one hundred twenty million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3529 7058 14116 17645 28232 35290 38819 70580 77638 141160 155276 194095 310552 388190 776380 1552760 200953219 401906438 803812876 1004766095 1607625752 2009532190 2210485409 4019064380 4420970818 8038128760 8841941636 11052427045 17683883272 22104854090 44209708180 88419416360 709163909851 1418327819702 2836655639404 3545819549255 5673311278808 7091639098510 7800803008361 14183278197020 15601606016722 28366556394040 31203212033444 39004015041805 62406424066888 78008030083610 156016060167220 312032120334440