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1144657701 = 321124492341
BaseRepresentation
bin100010000111010…
…0001011100100101
32221202212122011200
41010032201130211
54321013021301
6305325553113
740236300315
oct10416413445
92852778150
101144657701
11538147300
1227b415799
131531b8565
14ac045445
156a757c86
hex443a1725

1144657701 has 36 divisors (see below), whose sum is σ = 1822193100. Its totient is φ = 691891200.

The previous prime is 1144657691. The next prime is 1144657711. The reversal of 1144657701 is 1077564411.

It is an interprime number because it is at equal distance from previous prime (1144657691) and next prime (1144657711).

It can be written as a sum of positive squares in 2 ways, for example, as 723341025 + 421316676 = 26895^2 + 20526^2 .

It is not a de Polignac number, because 1144657701 - 27 = 1144657573 is a prime.

It is a super-3 number, since 3×11446577013 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144657711) 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 35 ways as a sum of consecutive naturals, for example, 487791 + ... + 490131.

It is an arithmetic number, because the mean of its divisors is an integer number (50616475).

Almost surely, 21144657701 is an apocalyptic number.

1144657701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1144657701 is a deficient number, since it is larger than the sum of its proper divisors (677535399).

1144657701 is a wasteful number, since it uses less digits than its factorization.

1144657701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1144657701 is about 33832.7903224076. The cubic root of 1144657701 is about 1046.0646951103.

The spelling of 1144657701 in words is "one billion, one hundred forty-four million, six hundred fifty-seven thousand, seven hundred one".

Divisors: 1 3 9 11 33 99 121 363 449 1089 1347 2341 4041 4939 7023 14817 21069 25751 44451 54329 77253 162987 231759 283261 488961 849783 1051109 2549349 3153327 9459981 11562199 34686597 104059791 127184189 381552567 1144657701