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4412330332144 = 247162124303397
BaseRepresentation
bin100000000110101001101…
…1000011100111111110000
3120121210222212221211210021
41000031103120130333300
51034242423031112034
613214555132013224
7633531442001260
oct100152330347760
916553885854707
104412330332144
111451293497009
125b3180601214
13260108b595a7
141137b4d4b7a0
1579b951256b4
hex4035361cff0

4412330332144 has 40 divisors (see below), whose sum is σ = 9776187665888. Its totient is φ = 1889832072960.

The previous prime is 4412330332117. The next prime is 4412330332147.

4412330332144 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412330332147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11970147 + ... + 12333250.

Almost surely, 24412330332144 is an apocalyptic number.

It is an amenable number.

4412330332144 is an abundant number, since it is smaller than the sum of its proper divisors (5363857333744).

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

4412330332144 is a wasteful number, since it uses less digits than its factorization.

4412330332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24305033 (or 24305027 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4412330 and 332144, that added together give a palindrome (4744474).

The spelling of 4412330332144 in words is "four trillion, four hundred twelve billion, three hundred thirty million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1621 3242 6484 11347 12968 22694 25936 45388 90776 181552 24303397 48606794 97213588 170123779 194427176 340247558 388854352 680495116 1360990232 2721980464 39395806537 78791613074 157583226148 275770645759 315166452296 551541291518 630332904592 1103082583036 2206165166072 4412330332144