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34132244430424 = 2371498214982501
BaseRepresentation
bin1111100001011000010000…
…10011011111111001011000
311110212000021210121120202211
413300230020103133321120
513433210314033233144
6200332045302204504
710121654556455530
oct760541023377130
9143760253546684
1034132244430424
11a96a449178628
1239b3083723734
1316078700c913a
1486001bcba4c0
153e2cd0b8e034
hex1f0b084dfe58

34132244430424 has 64 divisors (see below), whose sum is σ = 73721099592000. Its totient is φ = 14512228800000.

The previous prime is 34132244430421. The next prime is 34132244430461. The reversal of 34132244430424 is 42403444223143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132244430421) by changing a digit.

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, 4359174 + ... + 9341674.

It is an arithmetic number, because the mean of its divisors is an integer number (1151892181125).

Almost surely, 234132244430424 is an apocalyptic number.

It is an amenable number.

34132244430424 is an abundant number, since it is smaller than the sum of its proper divisors (39588855161576).

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

34132244430424 is a wasteful number, since it uses less digits than its factorization.

34132244430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983484 (or 4983480 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 34132244430424 its reverse (42403444223143), we get a palindrome (76535688653567).

The spelling of 34132244430424 in words is "thirty-four trillion, one hundred thirty-two billion, two hundred forty-four million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 149 298 596 821 1043 1192 1642 2086 3284 4172 5747 6568 8344 11494 22988 45976 122329 244658 489316 856303 978632 1712606 3425212 4982501 6850424 9965002 19930004 34877507 39860008 69755014 139510028 279020056 742392649 1484785298 2969570596 4090633321 5196748543 5939141192 8181266642 10393497086 16362533284 20786994172 28634433247 32725066568 41573988344 57268866494 114537732988 229075465976 609504364829 1219008729658 2438017459316 4266530553803 4876034918632 8533061107606 17066122215212 34132244430424