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2344002004432 = 241121319242327
BaseRepresentation
bin100010000111000001011…
…010000010010111010000
322022002021112022022020001
4202013001122002113100
5301401004003120212
64552453013455344
7331230361203544
oct42070132022720
98262245268201
102344002004432
118240a4029300
1231a349641554
131400665b939a
14816438b5a24
1540e8d692657
hex221c16825d0

2344002004432 has 60 divisors (see below), whose sum is σ = 5030007621408. Its totient is φ = 1057322094400.

The previous prime is 2344002004411. The next prime is 2344002004453.

It is a happy number.

2344002004432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2344002004411) and next prime (2344002004453).

It is a self number, because there is not a number n which added to its sum of digits gives 2344002004432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4367548 + ... + 4874779.

Almost surely, 22344002004432 is an apocalyptic number.

2344002004432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2344002004432 is an abundant number, since it is smaller than the sum of its proper divisors (2686005616976).

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

2344002004432 is a wasteful number, since it uses less digits than its factorization.

2344002004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242488 (or 9242471 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The spelling of 2344002004432 in words is "two trillion, three hundred forty-four billion, two million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 131 176 242 262 484 524 968 1048 1441 1936 2096 2882 5764 11528 15851 23056 31702 63404 126808 253616 9242327 18484654 36969308 73938616 101665597 147877232 203331194 406662388 813324776 1118321567 1210744837 1626649552 2236643134 2421489674 4473286268 4842979348 8946572536 9685958696 13318193207 17893145072 19371917392 26636386414 53272772828 106545545656 146500125277 213091091312 293000250554 586000501108 1172001002216 2344002004432