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2340132310432 = 25742732444891
BaseRepresentation
bin100010000011011010110…
…000010100110110100000
322021201021211210111000001
4202003122300110312200
5301320042332413212
64551013020505344
7331032442304050
oct42033260246640
98251254714001
102340132310432
11822498755994
123196496ab254
1313c89a98c817
14813979a1560
1540d13aab657
hex220dac14da0

2340132310432 has 48 divisors (see below), whose sum is σ = 5266532077632. Its totient is φ = 1002678727680.

The previous prime is 2340132310393. The next prime is 2340132310459.

It is a happy number.

2340132310432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2340132310432.

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, 265294 + ... + 2179597.

It is an arithmetic number, because the mean of its divisors is an integer number (109719418284).

Almost surely, 22340132310432 is an apocalyptic number.

It is an amenable number.

2340132310432 is an abundant number, since it is smaller than the sum of its proper divisors (2926399767200).

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

2340132310432 is a wasteful number, since it uses less digits than its factorization.

2340132310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449181 (or 2449173 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 2340132310432 in words is "two trillion, three hundred forty billion, one hundred thirty-two million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4273 8546 17092 29911 34184 59822 68368 119644 136736 239288 478576 957152 2444891 4889782 9779564 17114237 19559128 34228474 39118256 68456948 78236512 136913896 273827792 547655584 10447019243 20894038486 41788076972 73129134701 83576153944 146258269402 167152307888 292516538804 334304615776 585033077608 1170066155216 2340132310432