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42223000013244 = 2232171512811625977
BaseRepresentation
bin10011001100110110011101…
…11010101100100110111100
312112111110221110122021112100
421212123032322230212330
521013240201000410434
6225444551201305100
711615340205302021
oct1146331672544674
9175443843567470
1042223000013244
11124a9745835466
12489b125335190
131a737c521319b
14a5d86593d548
154d34b5482699
hex2666ceeac9bc

42223000013244 has 144 divisors (see below), whose sum is σ = 114161918584896. Its totient is φ = 13111870464000.

The previous prime is 42223000013231. The next prime is 42223000013287. The reversal of 42223000013244 is 44231000032224.

42223000013244 is a `hidden beast` number, since 4 + 222 + 300 + 0 + 0 + 132 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25154784 + ... + 26780760.

It is an arithmetic number, because the mean of its divisors is an integer number (792791101284).

Almost surely, 242223000013244 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 42223000013244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57080959292448).

42223000013244 is an abundant number, since it is smaller than the sum of its proper divisors (71938918571652).

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

42223000013244 is a wasteful number, since it uses less digits than its factorization.

42223000013244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626436 (or 1626431 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42223000013244 its reverse (44231000032224), we get a palindrome (86454000045468).

The spelling of 42223000013244 in words is "forty-two trillion, two hundred twenty-three billion, thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 151 153 204 281 302 306 453 562 604 612 843 906 1124 1359 1686 1812 2529 2567 2718 3372 4777 5058 5134 5436 7701 9554 10116 10268 14331 15402 19108 23103 28662 30804 42431 42993 46206 57324 84862 85986 92412 127293 169724 171972 254586 381879 509172 721327 763758 1442654 1527516 1625977 2163981 2885308 3251954 4327962 4877931 6491943 6503908 8655924 9755862 12983886 14633793 19511724 25967772 27641609 29267586 55283218 58535172 82924827 110566436 165849654 245522527 248774481 331699308 456899537 491045054 497548962 736567581 913799074 982090108 995097924 1370698611 1473135162 1827598148 2209702743 2741397222 2946270324 4112095833 4173882959 4419405486 5482794444 7767292129 8224191666 8347765918 8838810972 12521648877 15534584258 16448383332 16695531836 23301876387 25043297754 31069168516 37564946631 46603752774 50086595508 68991830087 69905629161 75129893262 93207505548 137983660174 139811258322 150259786524 206975490261 275967320348 279622516644 413950980522 620926470783 827901961044 1172861111479 1241852941566 2345722222958 2483705883132 3518583334437 4691444445916 7037166668874 10555750003311 14074333337748 21111500006622 42223000013244