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10214404440 = 2335172313941
BaseRepresentation
bin10011000001101001…
…10111000101011000
3222100212012111201120
421200310313011120
5131404341420230
64405322045240
7511060001532
oct114064670530
928325174646
1010214404440
114371846269
121b90949820
13c6a248cc6
146cc814852
153ebb10310
hex260d37158

10214404440 has 192 divisors, whose sum is σ = 32690489760. Its totient is φ = 2552709120.

The previous prime is 10214404439. The next prime is 10214404463. The reversal of 10214404440 is 4440441201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10214404440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10854370 + ... + 10855310.

Almost surely, 210214404440 is an apocalyptic number.

10214404440 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 10214404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345244880).

10214404440 is an abundant number, since it is smaller than the sum of its proper divisors (22476085320).

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

10214404440 is a wasteful number, since it uses less digits than its factorization.

10214404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10214404440 its reverse (4440441201), we get a palindrome (14654845641).

The spelling of 10214404440 in words is "ten billion, two hundred fourteen million, four hundred four thousand, four hundred forty".