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2034141444 = 2233191496653
BaseRepresentation
bin111100100111110…
…1000100100000100
312020202121002111000
41321033220210010
513131220011234
6533502413300
7101256626346
oct17117504404
95222532430
102034141444
11954246635
12489291230
1326556c3ba
14154225296
15bd8a8899
hex793e8904

2034141444 has 96 divisors (see below), whose sum is σ = 5589360000. Its totient is φ = 637953408.

The previous prime is 2034141437. The next prime is 2034141451. The reversal of 2034141444 is 4441414302.

2034141444 is a `hidden beast` number, since 203 + 4 + 1 + 414 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2034141437) and next prime (2034141451).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302422 + ... + 309074.

It is an arithmetic number, because the mean of its divisors is an integer number (58222500).

Almost surely, 22034141444 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 2034141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794680000).

2034141444 is an abundant number, since it is smaller than the sum of its proper divisors (3555218556).

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

2034141444 is a wasteful number, since it uses less digits than its factorization.

2034141444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6826 counting only the distinct ones).

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

The square root of 2034141444 is about 45101.4572270121. The cubic root of 2034141444 is about 1267.0498916474.

Adding to 2034141444 its reverse (4441414302), we get a palindrome (6475555746).

The spelling of 2034141444 in words is "two billion, thirty-four million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 149 171 228 298 342 447 513 596 684 894 1026 1341 1788 2052 2682 2831 4023 5364 5662 6653 8046 8493 11324 13306 16092 16986 19959 25479 26612 33972 39918 50958 59877 76437 79836 101916 119754 126407 152874 179631 239508 252814 305748 359262 379221 505628 718524 758442 991297 1137663 1516884 1982594 2275326 2973891 3412989 3965188 4550652 5947782 6825978 8921673 11895564 13651956 17843346 18834643 26765019 35686692 37669286 53530038 56503929 75338572 107060076 113007858 169511787 226015716 339023574 508535361 678047148 1017070722 2034141444