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34414341401144 = 2319534271889449
BaseRepresentation
bin1111101001100101101101…
…00110000010101000111000
311111211222102121211111022102
413310302312212002220320
514002321032344314034
6201105421415242532
710151232314243435
oct764626646025070
9144758377744272
1034414341401144
11aa690495a4a61
123a39891379448
131628348b1a1a3
1486d93d434b8c
153ea2e174b97e
hex1f4cb6982a38

34414341401144 has 32 divisors (see below), whose sum is σ = 69204609090000. Its totient is φ = 15993954093312.

The previous prime is 34414341401131. The next prime is 34414341401161. The reversal of 34414341401144 is 44110414341443.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 34414341401098 and 34414341401107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2135936669 + ... + 2135952780.

Almost surely, 234414341401144 is an apocalyptic number.

It is an amenable number.

34414341401144 is an abundant number, since it is smaller than the sum of its proper divisors (34790267688856).

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

34414341401144 is a wasteful number, since it uses less digits than its factorization.

34414341401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271889527 (or 4271889523 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

Adding to 34414341401144 its reverse (44110414341443), we get a palindrome (78524755742587).

The spelling of 34414341401144 in words is "thirty-four trillion, four hundred fourteen billion, three hundred forty-one million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 38 53 76 106 152 212 424 1007 2014 4028 8056 4271889449 8543778898 17087557796 34175115592 81165899531 162331799062 226410140797 324663598124 452820281594 649327196248 905640563188 1811281126376 4301792675143 8603585350286 17207170700572 34414341401144