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33444214331442 = 23195310365778171
BaseRepresentation
bin1111001101010110101101…
…00000111101100000110010
311101102020100210121011100020
413212223112200331200302
513340422222332101232
6155044020541304310
710021156544225565
oct746532640754062
9141366323534306
1033444214331442
11a724680112812
123901867865096
131587a117b5985
148389cc5da4dc
153cee628ade2c
hex1e6ad683d832

33444214331442 has 128 divisors (see below), whose sum is σ = 72453699901440. Its totient is φ = 10258642068480.

The previous prime is 33444214331441. The next prime is 33444214331533. The reversal of 33444214331442 is 24413341244433.

It is a super-2 number, since 2×334442143314422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33444214331394 and 33444214331403.

It is not an unprimeable number, because it can be changed into a prime (33444214331441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4093034017 + ... + 4093042187.

It is an arithmetic number, because the mean of its divisors is an integer number (566044530480).

Almost surely, 233444214331442 is an apocalyptic number.

33444214331442 is an abundant number, since it is smaller than the sum of its proper divisors (39009485569998).

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

33444214331442 is a wasteful number, since it uses less digits than its factorization.

33444214331442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14928.

The product of its digits is 1327104, while the sum is 42.

Adding to 33444214331442 its reverse (24413341244433), we get a palindrome (57857555575875).

The spelling of 33444214331442 in words is "thirty-three trillion, four hundred forty-four billion, two hundred fourteen million, three hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 19 38 53 57 103 106 114 159 206 309 318 618 1007 1957 2014 3021 3914 5459 5871 6042 6577 8171 10918 11742 13154 16342 16377 19731 24513 32754 39462 49026 103721 124963 155249 207442 249926 310498 311163 348581 374889 433063 465747 622326 677431 697162 749778 841613 866126 931494 1045743 1299189 1354862 1683226 2032293 2091486 2524839 2598378 4064586 5049678 6623039 8228197 12871189 13246078 15990647 16456394 19869117 24684591 25742378 31981294 35903843 38613567 39738234 44605489 47971941 49369182 53740667 71807686 77227134 89210978 95943882 107481334 107711529 133816467 161222001 215423058 267632934 322444002 682173017 847504291 1021072673 1364346034 1695008582 2042145346 2046519051 2542512873 2848255351 3063218019 4093038102 5085025746 5535288701 5696510702 6126436038 8544766053 11070577402 16605866103 17089532106 33211732206 54116851669 105170485319 108233703338 162350555007 210340970638 293370301153 315511455957 324701110014 586740602306 631022911914 880110903459 1760221806918 5574035721907 11148071443814 16722107165721 33444214331442