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4434434370340 = 2251317055516809
BaseRepresentation
bin100000010000111100011…
…1000101010101100100100
3120200221001100121022211121
41000201320320222230210
51040123210144322330
613233052342143324
7635243263141312
oct100417070525444
916627040538747
104434434370340
11145a6a6662077
125b750b121b44
1326221c407130
141148b08510b2
157a53a95517a
hex40878e2ab24

4434434370340 has 24 divisors (see below), whose sum is σ = 10028643884280. Its totient is φ = 1637329613568.

The previous prime is 4434434370337. The next prime is 4434434370343. The reversal of 4434434370340 is 430734344344.

It is an interprime number because it is at equal distance from previous prime (4434434370337) and next prime (4434434370343).

It can be written as a sum of positive squares in 4 ways, for example, as 46607628544 + 4387826741796 = 215888^2 + 2094714^2 .

It is not an unprimeable number, because it can be changed into a prime (4434434370343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8527758145 + ... + 8527758664.

It is an arithmetic number, because the mean of its divisors is an integer number (417860161845).

Almost surely, 24434434370340 is an apocalyptic number.

It is an amenable number.

4434434370340 is an abundant number, since it is smaller than the sum of its proper divisors (5594209513940).

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

4434434370340 is a wasteful number, since it uses less digits than its factorization.

4434434370340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17055516831 (or 17055516829 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 43.

The spelling of 4434434370340 in words is "four trillion, four hundred thirty-four billion, four hundred thirty-four million, three hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 17055516809 34111033618 68222067236 85277584045 170555168090 221721718517 341110336180 443443437034 886886874068 1108608592585 2217217185170 4434434370340