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13903222273344 = 2634231974331367
BaseRepresentation
bin1100101001010001100010…
…0111111111010101000000
31211020010122110120001120000
43022110120213333111000
53310242244400221334
645323015132320000
72633321544300015
oct312243047772500
954203573501500
1013903222273344
114480361576208
121686655013000
1379b0b6bb1131
14360cc335370c
151919c4a11299
hexca5189ff540

13903222273344 has 560 divisors, whose sum is σ = 43355215588608. Its totient is φ = 4397004767232.

The previous prime is 13903222273337. The next prime is 13903222273411. The reversal of 13903222273344 is 44337222230931.

13903222273344 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 32 + 2 + 2 + 273 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13903222273344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10170608149 + ... + 10170609515.

Almost surely, 213903222273344 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 13903222273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21677607794304).

13903222273344 is an abundant number, since it is smaller than the sum of its proper divisors (29451993315264).

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

13903222273344 is a wasteful number, since it uses less digits than its factorization.

13903222273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 13903222273344 in words is "thirteen trillion, nine hundred three billion, two hundred twenty-two million, two hundred seventy-three thousand, three hundred forty-four".