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3214024144032 = 2531316371573207
BaseRepresentation
bin101110110001010010110…
…001000111010010100000
3102101020221212110021220110
4232301102301013102200
5410124310140102112
610500300255411320
7451130341315302
oct56612261072240
912336855407813
103214024144032
11102a072926959
1243aa96223b40
131a4109462650
14b17b9777972
155890deba13c
hex2ec52c474a0

3214024144032 has 96 divisors (see below), whose sum is σ = 9091355075712. Its totient is φ = 988325766144.

The previous prime is 3214024143989. The next prime is 3214024144057. The reversal of 3214024144032 is 2304414204123.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256373 + ... + 2829579.

It is an arithmetic number, because the mean of its divisors is an integer number (94701615372).

Almost surely, 23214024144032 is an apocalyptic number.

3214024144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214024144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545677537856).

3214024144032 is an abundant number, since it is smaller than the sum of its proper divisors (5877330931680).

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

3214024144032 is a wasteful number, since it uses less digits than its factorization.

3214024144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574870 (or 1574862 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3214024144032 its reverse (2304414204123), we get a palindrome (5518438348155).

The spelling of 3214024144032 in words is "three trillion, two hundred fourteen billion, twenty-four million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1637 3274 4911 6548 9822 13096 19644 21281 26192 39288 42562 52384 63843 78576 85124 127686 157152 170248 255372 340496 510744 680992 1021488 1573207 2042976 3146414 4719621 6292828 9439242 12585656 18878484 20451691 25171312 37756968 40903382 50342624 61355073 75513936 81806764 122710146 151027872 163613528 245420292 327227056 490840584 654454112 981681168 1963362336 2575339859 5150679718 7726019577 10301359436 15452039154 20602718872 30904078308 33479418167 41205437744 61808156616 66958836334 82410875488 100438254501 123616313232 133917672668 200876509002 247232626464 267835345336 401753018004 535670690672 803506036008 1071341381344 1607012072016 3214024144032