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42412344323202 = 2337234400949
BaseRepresentation
bin10011010010010111001001…
…01101111010110010000010
312120011120200012100211021000
421221023210231322302002
521024340440121320302
6230111543443112430
711635122300341220
oct1151134455726202
9176146605324230
1042412344323202
1112571a79756a57
12490b968372716
131a8860ba4b009
14a68aa8779b10
154d83981ca31c
hex2692e4b7ac82

42412344323202 has 160 divisors (see below), whose sum is σ = 112610239632000. Its totient is φ = 11590922334816.

The previous prime is 42412344323177. The next prime is 42412344323233. The reversal of 42412344323202 is 20232344321424.

42412344323202 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 2 + 3 + 443 + 2 + 3 + 202 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105579424 + ... + 105980372.

It is an arithmetic number, because the mean of its divisors is an integer number (703813997700).

Almost surely, 242412344323202 is an apocalyptic number.

42412344323202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42412344323202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56305119816000).

42412344323202 is an abundant number, since it is smaller than the sum of its proper divisors (70197895308798).

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

42412344323202 is an frugal number, since it uses more digits than its factorization.

42412344323202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401059 (or 400984 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42412344323202 its reverse (20232344321424), we get a palindrome (62644688644626).

The spelling of 42412344323202 in words is "forty-two trillion, four hundred twelve billion, three hundred forty-four million, three hundred twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 529 621 966 1058 1242 1449 1587 2898 3174 3703 4347 4761 7406 8694 9522 11109 12167 14283 22218 24334 28566 33327 36501 66654 73002 85169 99981 109503 170338 199962 219006 255507 279841 328509 400949 511014 559682 657018 766521 801898 839523 1202847 1533042 1679046 1958887 2299563 2405694 2518569 2806643 3608541 3917774 4599126 5037138 5613286 5876661 7217082 7555707 8419929 9221827 10825623 11753322 15111414 16839858 17629983 18443654 21651246 25259787 27665481 35259966 50519574 52889949 55330962 64552789 75779361 82996443 105779898 129105578 151558722 165992886 193658367 212102021 248989329 387316734 424204042 497978658 580975101 636306063 1161950202 1272612126 1484714147 1742925303 1908918189 2969428294 3485850606 3817836378 4454142441 4878346483 5726754567 8908284882 9756692966 11453509134 13362427323 14635039449 26724854646 29270078898 34148425381 40087281969 43905118347 68296850762 80174563938 87810236694 102445276143 112201969109 131715355041 204890552286 224403938218 263430710082 307335828429 336605907327 614671656858 673211814654 785413783763 922007485287 1009817721981 1570827567526 1844014970574 2019635443962 2356241351289 3029453165943 4712482702578 6058906331886 7068724053867 14137448107734 21206172161601 42412344323202