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1445845385152 = 267113106926717
BaseRepresentation
bin10101000010100011000…
…110011011111111000000
312010012222110011122221201
4111002203012123333000
5142142042404311102
63024113500230544
7206313252666040
oct25024306337700
95105873148851
101445845385152
115081a8032753
121b426a83b454
13a645b9cb8cc
144dd9d259720
1527922ddc987
hex150a319bfc0

1445845385152 has 112 divisors (see below), whose sum is σ = 3311206626240. Its totient is φ = 613566922752.

The previous prime is 1445845385071. The next prime is 1445845385183. The reversal of 1445845385152 is 2515835485441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1445845385093 and 1445845385102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54103698 + ... + 54130414.

Almost surely, 21445845385152 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 1445845385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655603313120).

1445845385152 is an abundant number, since it is smaller than the sum of its proper divisors (1865361241088).

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

1445845385152 is a wasteful number, since it uses less digits than its factorization.

1445845385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27918 (or 27908 counting only the distinct ones).

The product of its digits is 15360000, while the sum is 55.

The spelling of 1445845385152 in words is "one trillion, four hundred forty-five billion, eight hundred forty-five million, three hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1069 1582 1808 2138 3164 3616 4276 6328 7232 7483 8552 12656 14966 17104 25312 26717 29932 34208 50624 53434 59864 68416 106868 119728 120797 187019 213736 239456 241594 374038 427472 478912 483188 748076 845579 854944 966376 1496152 1691158 1709888 1932752 2992304 3019021 3382316 3865504 5984608 6038042 6764632 7731008 11969216 12076084 13529264 21133147 24152168 27058528 28560473 42266294 48304336 54117056 57120946 84532588 96608672 114241892 169065176 193217344 199923311 228483784 338130352 399846622 456967568 676260704 799693244 913935136 1352521408 1599386488 1827870272 3198772976 3227333449 6397545952 6454666898 12795091904 12909333796 22591334143 25818667592 45182668286 51637335184 90365336572 103274670368 180730673144 206549340736 361461346288 722922692576 1445845385152