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4341344431434 = 2337179109249193
BaseRepresentation
bin111111001011001100010…
…010101110110101001010
3120101000202202110110101120
4333023030102232311022
51032112033133301214
613122215221500110
7625436363542443
oct77131422566512
916330682413346
104341344431434
11142417683116a
125a146b571636
132565053a044a
1411019d4182ca
1577ddd1baea9
hex3f2cc4aed4a

4341344431434 has 32 divisors (see below), whose sum is σ = 8967173843520. Its totient is φ = 1400137644672.

The previous prime is 4341344431429. The next prime is 4341344431441.

4341344431434 is nontrivially palindromic in base 10.

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, 54584859 + ... + 54664334.

It is an arithmetic number, because the mean of its divisors is an integer number (280224182610).

Almost surely, 24341344431434 is an apocalyptic number.

4341344431434 is an abundant number, since it is smaller than the sum of its proper divisors (4625829412086).

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

4341344431434 is a wasteful number, since it uses less digits than its factorization.

4341344431434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109249414.

The product of its digits is 1327104, while the sum is 42.

The spelling of 4341344431434 in words is "four trillion, three hundred forty-one billion, three hundred forty-four million, four hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 37 74 111 179 222 358 537 1074 6623 13246 19869 39738 109249193 218498386 327747579 655495158 4042220141 8084440282 12126660423 19555605547 24253320846 39111211094 58666816641 117333633282 723557405239 1447114810478 2170672215717 4341344431434