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1144085202 = 2331311871373
BaseRepresentation
bin100010000110001…
…0101101011010010
32221201210112212000
41010030111223102
54320341211302
6305305414430
740231364241
oct10414255322
92851715760
101144085202
11537896167
1227b19a416
13153047ac0
14abd36958
156a69331c
hex44315ad2

1144085202 has 64 divisors (see below), whose sum is σ = 2742284160. Its totient is φ = 351473472.

The previous prime is 1144085191. The next prime is 1144085203. The reversal of 1144085202 is 2025804411.

1144085202 is a `hidden beast` number, since 11 + 440 + 8 + 5 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1144085203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832588 + ... + 833960.

It is an arithmetic number, because the mean of its divisors is an integer number (42848190).

Almost surely, 21144085202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144085202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371142080).

1144085202 is an abundant number, since it is smaller than the sum of its proper divisors (1598198958).

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

1144085202 is a wasteful number, since it uses less digits than its factorization.

1144085202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1144085202 is about 33824.3285520940. The cubic root of 1144085202 is about 1045.8902700804.

Adding to 1144085202 its reverse (2025804411), we get a palindrome (3169889613).

The spelling of 1144085202 in words is "one billion, one hundred forty-four million, eighty-five thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1187 1373 2374 2746 3561 4119 7122 8238 10683 12357 15431 17849 21366 24714 30862 32049 35698 37071 46293 53547 64098 74142 92586 107094 138879 160641 277758 321282 416637 481923 833274 963846 1629751 3259502 4889253 9778506 14667759 21186763 29335518 42373526 44003277 63560289 88006554 127120578 190680867 381361734 572042601 1144085202