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10214403444 = 22327227178561
BaseRepresentation
bin10011000001101001…
…10110110101110100
3222100212012110100200
421200310312311310
5131404341402234
64405322040500
7511056665610
oct114064666564
928325173320
1010214403444
114371845543
121b90949130
13c6a24870b
146cc814340
153ebb0ed99
hex260d36d74

10214403444 has 72 divisors (see below), whose sum is σ = 29638435008. Its totient is φ = 2905528320.

The previous prime is 10214403421. The next prime is 10214403487. The reversal of 10214403444 is 44430441201.

10214403444 is a `hidden beast` number, since 1 + 0 + 214 + 4 + 0 + 3 + 444 = 666.

10214403444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102144034442 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 32077 + ... + 146484.

Almost surely, 210214403444 is an apocalyptic number.

10214403444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10214403444 is an abundant number, since it is smaller than the sum of its proper divisors (19424031564).

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

10214403444 is a wasteful number, since it uses less digits than its factorization.

10214403444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178805 (or 178800 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10214403444 its reverse (44430441201), we get a palindrome (54644844645).

The spelling of 10214403444 in words is "ten billion, two hundred fourteen million, four hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 227 252 454 681 908 1362 1589 2043 2724 3178 4086 4767 6356 8172 9534 14301 19068 28602 57204 178561 357122 535683 714244 1071366 1249927 1607049 2142732 2499854 3214098 3749781 4999708 6428196 7499562 11249343 14999124 22498686 40533347 44997372 81066694 121600041 162133388 243200082 283733429 364800123 486400164 567466858 729600246 851200287 1134933716 1459200492 1702400574 2553600861 3404801148 5107201722 10214403444