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330203013144 = 23371241823977
BaseRepresentation
bin1001100111000011010…
…00100010000000011000
31011120022102020001210120
410303201220202000120
520402223432410034
6411405420313240
732566511205264
oct4634150420030
91146272201716
10330203013144
11118046aa1094
1253bb43a2820
13251a4294614
1411da65150a4
1588c9039c49
hex4ce1a22018

330203013144 has 128 divisors (see below), whose sum is σ = 842490823680. Its totient is φ = 107825356800.

The previous prime is 330203013121. The next prime is 330203013149. The reversal of 330203013144 is 441310302033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330203013149) 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, 337975984 + ... + 337976960.

It is an arithmetic number, because the mean of its divisors is an integer number (6581959560).

Almost surely, 2330203013144 is an apocalyptic number.

It is an amenable number.

330203013144 is an abundant number, since it is smaller than the sum of its proper divisors (512287810536).

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

330203013144 is a wasteful number, since it uses less digits than its factorization.

330203013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 330203013144 its reverse (441310302033), we get a palindrome (771513315177).

The spelling of 330203013144 in words is "three hundred thirty billion, two hundred three million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 241 284 426 482 568 723 823 852 964 977 1446 1646 1704 1928 1954 2469 2892 2931 3292 3908 4938 5784 5862 6584 7816 9876 11724 17111 19752 23448 34222 51333 58433 68444 69367 102666 116866 136888 138734 175299 198343 205332 208101 233732 235457 277468 350598 396686 410664 416202 467464 470914 554936 595029 701196 706371 793372 804071 832404 941828 1190058 1402392 1412742 1586744 1608142 1664808 1883656 2380116 2412213 2825484 3216284 4760232 4824426 5650968 6432568 9648852 14082353 16717447 19297704 28164706 33434894 42247059 50152341 56329412 57089041 66869788 84494118 100304682 112658824 114178082 133739576 168988236 171267123 193781111 200609364 228356164 337976472 342534246 387562222 401218728 456712328 581343333 685068492 775124444 1162686666 1370136984 1550248888 2325373332 4650746664 13758458881 27516917762 41275376643 55033835524 82550753286 110067671048 165101506572 330203013144