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14445155020504 = 23131996329110281
BaseRepresentation
bin1101001000110100011001…
…0101010110111011011000
31220010221110200122000222011
43102031012111112323120
53343132134141124004
650420002420035304
73020425256526505
oct322150625267330
956127420560864
1014445155020504
11466a17947424a
121753699232b34
1380a23163c520
1437d2136d44ac
151a0b41b57004
hexd2346556ed8

14445155020504 has 64 divisors (see below), whose sum is σ = 29319572520000. Its totient is φ = 6632383887360.

The previous prime is 14445155020501. The next prime is 14445155020613. The reversal of 14445155020504 is 40502055154441.

14445155020504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14445155020501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130929844 + ... + 131040124.

It is an arithmetic number, because the mean of its divisors is an integer number (458118320625).

Almost surely, 214445155020504 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 14445155020504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659786260000).

14445155020504 is an abundant number, since it is smaller than the sum of its proper divisors (14874417499496).

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

14445155020504 is a wasteful number, since it uses less digits than its factorization.

14445155020504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116828 (or 116824 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 14445155020504 in words is "fourteen trillion, four hundred forty-five billion, one hundred fifty-five million, twenty thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 104 199 398 796 1592 2587 5174 6329 10348 12658 20696 25316 50632 82277 110281 164554 220562 329108 441124 658216 882248 1259471 1433653 2518942 2867306 5037884 5734612 10075768 11469224 16373123 21945919 32746246 43891838 65492492 87783676 130984984 175567352 285296947 570593894 697968449 1141187788 1395936898 2282375576 2791873796 5583747592 9073589837 18147179674 36294359348 72588718696 138895721351 277791442702 555582885404 1111165770808 1805644377563 3611288755126 7222577510252 14445155020504