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71044107344 = 2474775117971
BaseRepresentation
bin100001000101010001…
…1110000110001010000
320210101012000120212222
41002022203300301100
52130444242413334
652345345440212
75063352643250
oct1021243606120
9223335016788
1071044107344
1128147601401
1211928640068
136912858a52
14361d565960
151cac105d2e
hex108a8f0c50

71044107344 has 80 divisors (see below), whose sum is σ = 160881893376. Its totient is φ = 29758320000.

The previous prime is 71044107293. The next prime is 71044107347. The reversal of 71044107344 is 44370144017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71044107347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3944279 + ... + 3962249.

Almost surely, 271044107344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71044107344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80440946688).

71044107344 is an abundant number, since it is smaller than the sum of its proper divisors (89837786032).

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

71044107344 is a wasteful number, since it uses less digits than its factorization.

71044107344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18784 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 71044107344 in words is "seventy-one billion, forty-four million, one hundred seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 751 752 1316 1502 2632 3004 5257 5264 6008 10514 12016 17971 21028 35297 35942 42056 70594 71884 84112 125797 141188 143768 247079 251594 282376 287536 494158 503188 564752 844637 988316 1006376 1689274 1976632 2012752 3378548 3953264 5912459 6757096 11824918 13496221 13514192 23649836 26992442 47299672 53984884 94473547 94599344 107969768 188947094 215939536 377894188 634322387 755788376 1268644774 1511576752 2537289548 4440256709 5074579096 8880513418 10149158192 17761026836 35522053672 71044107344