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201411302144 = 2813415327851
BaseRepresentation
bin1011101110010100001…
…1001001001100000000
3201020212200220021002012
42323211003021030000
511244442243132034
6232305503112052
720360105551343
oct2734503111400
9636780807065
10201411302144
117846647a408
12330502a2628
1315cba8270c0
149a696d645a
15538c2eccce
hex2ee50c9300

201411302144 has 144 divisors (see below), whose sum is σ = 451906275744. Its totient is φ = 88977408000.

The previous prime is 201411302143. The next prime is 201411302167. The reversal of 201411302144 is 441203114102.

It is not an unprimeable number, because it can be changed into a prime (201411302143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7217819 + ... + 7245669.

It is an arithmetic number, because the mean of its divisors is an integer number (3138238026).

Almost surely, 2201411302144 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 201411302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225953137872).

201411302144 is an abundant number, since it is smaller than the sum of its proper divisors (250494973600).

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

201411302144 is a wasteful number, since it uses less digits than its factorization.

201411302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27974 (or 27960 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 201411302144 its reverse (441203114102), we get a palindrome (642614416246).

The spelling of 201411302144 in words is "two hundred one billion, four hundred eleven million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 53 64 82 104 106 128 164 208 212 256 328 416 424 533 656 689 832 848 1066 1312 1378 1664 1696 2132 2173 2624 2756 3328 3392 4264 4346 5248 5512 6784 8528 8692 10496 11024 13568 17056 17384 22048 27851 28249 34112 34768 44096 55702 56498 68224 69536 88192 111404 112996 136448 139072 176384 222808 225992 278144 362063 445616 451984 556288 724126 891232 903968 1141891 1448252 1476103 1782464 1807936 2283782 2896504 2952206 3564928 3615872 4567564 5793008 5904412 7129856 7231744 9135128 11586016 11808824 14844583 18270256 19189339 23172032 23617648 29689166 36540512 38378678 46344064 47235296 59378332 60520223 73081024 76757356 92688128 94470592 118756664 121040446 146162048 153514712 188941184 237513328 242080892 292324096 307029424 377882368 475026656 484161784 614058848 786762899 950053312 968323568 1228117696 1573525798 1900106624 1936647136 2456235392 3147051596 3800213248 3873294272 4912470784 6294103192 7746588544 12588206384 15493177088 25176412768 50352825536 100705651072 201411302144