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34144340024412 = 2232948453889567
BaseRepresentation
bin1111100001101110110010…
…10000100001110001011100
311110220011111202121102102100
413300313121100201301130
513433410102021240122
6200341405424525100
710122563401354122
oct760673120416134
9143804452542370
1034144340024412
11a9745958913a2
1239b549a480790
131608a49cc0b47
1486084849d912
153e328c9e3aac
hex1f0dd9421c5c

34144340024412 has 18 divisors (see below), whose sum is σ = 86309303950688. Its totient is φ = 11381446674792.

The previous prime is 34144340024411. The next prime is 34144340024449. The reversal of 34144340024412 is 21442004344143.

34144340024412 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 4 + 3 + 400 + 244 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 948453889567 = 34144340024412 / (3 + 4 + 1 + 4 + 4 + 3 + 4 + 0 + 0 + 2 + 4 + 4 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144340024411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 474226944748 + ... + 474226944819.

Almost surely, 234144340024412 is an apocalyptic number.

It is an amenable number.

34144340024412 is an abundant number, since it is smaller than the sum of its proper divisors (52164963926276).

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

34144340024412 is a wasteful number, since it uses less digits than its factorization.

34144340024412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948453889577 (or 948453889572 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34144340024412 its reverse (21442004344143), we get a palindrome (55586344368555).

The spelling of 34144340024412 in words is "thirty-four trillion, one hundred forty-four billion, three hundred forty million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 948453889567 1896907779134 2845361668701 3793815558268 5690723337402 8536085006103 11381446674804 17072170012206 34144340024412