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1421112345040 = 245131467290369
BaseRepresentation
bin10100101011100000111…
…001011000000111010000
312000212010202121001021001
4110223200321120013100
5141240414230020130
63004503333311344
7204446326424263
oct24534071300720
95025122531231
101421112345040
114a8765963633
121ab507795554
13a401989552b
144cad4524cda
1526e7689e6ca
hex14ae0e581d0

1421112345040 has 80 divisors (see below), whose sum is σ = 3336448864320. Its totient is φ = 562895790080.

The previous prime is 1421112345013. The next prime is 1421112345061. The reversal of 1421112345040 is 405432111241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4748976 + ... + 5039344.

It is an arithmetic number, because the mean of its divisors is an integer number (41705610804).

Almost surely, 21421112345040 is an apocalyptic number.

1421112345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421112345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668224432160).

1421112345040 is an abundant number, since it is smaller than the sum of its proper divisors (1915336519280).

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

1421112345040 is a wasteful number, since it uses less digits than its factorization.

1421112345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290980 (or 290974 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1421112345040 its reverse (405432111241), we get a palindrome (1826544456281).

The spelling of 1421112345040 in words is "one trillion, four hundred twenty-one billion, one hundred twelve million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 467 524 655 934 1048 1310 1868 2096 2335 2620 3736 4670 5240 7472 9340 10480 18680 37360 61177 122354 244708 290369 305885 489416 580738 611770 978832 1161476 1223540 1451845 2322952 2447080 2903690 4645904 4894160 5807380 11614760 23229520 38038339 76076678 135602323 152153356 190191695 271204646 304306712 380383390 542409292 608613424 678011615 760766780 1084818584 1356023230 1521533560 2169637168 2712046460 3043067120 5424092920 10848185840 17763904313 35527808626 71055617252 88819521565 142111234504 177639043130 284222469008 355278086260 710556172520 1421112345040