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42002302233402 = 23272471079469409
BaseRepresentation
bin10011000110011011011000…
…10011011110101100111010
312111201101021122211102210100
421203031230103132230322
521001131203332432102
6225155331414100230
711563365130154400
oct1143155423365472
9174641248742710
1042002302233402
1112424092681995
1248643b204a676
131a58a52aa6704
14a52ccaa19470
154cc899daca1c
hex26336c4deb3a

42002302233402 has 144 divisors (see below), whose sum is σ = 109125783861120. Its totient is φ = 11635554018816.

The previous prime is 42002302233377. The next prime is 42002302233427. The reversal of 42002302233402 is 20433220320024.

It is a happy number.

42002302233402 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 2 + 30 + 223 + 3 + 402 = 666.

It is an interprime number because it is at equal distance from previous prime (42002302233377) and next prime (42002302233427).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299127 + ... + 9170282.

It is an arithmetic number, because the mean of its divisors is an integer number (757817943480).

Almost surely, 242002302233402 is an apocalyptic number.

42002302233402 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 42002302233402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54562891930560).

42002302233402 is an abundant number, since it is smaller than the sum of its proper divisors (67123481627718).

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

42002302233402 is a wasteful number, since it uses less digits than its factorization.

42002302233402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469585 (or 9469575 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42002302233402 its reverse (20433220320024), we get a palindrome (62435522553426).

The spelling of 42002302233402 in words is "forty-two trillion, two billion, three hundred two million, two hundred thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 107 126 141 147 214 282 294 321 329 423 441 642 658 749 846 882 963 987 1498 1926 1974 2247 2303 2961 4494 4606 5029 5243 5922 6741 6909 10058 10486 13482 13818 15087 15729 20727 30174 31458 35203 41454 45261 47187 70406 90522 94374 105609 211218 246421 316827 492842 633654 739263 1478526 2217789 4435578 9469409 18938818 28408227 56816454 66285863 85224681 132571726 170449362 198857589 397715178 445062223 464001041 596572767 890124446 928002082 1013226763 1193145534 1335186669 1392003123 2026453526 2670373338 2784006246 3039680289 3115435561 4005560007 4176009369 6079360578 6230871122 7092587341 8011120014 8352018738 9119040867 9346306683 14185174682 18238081734 18692613366 21277762023 21808048927 28038920049 42555524046 43616097854 47621657861 49648111387 56077840098 63833286069 65424146781 95243315722 99296222774 127666572138 130848293562 142864973583 148944334161 196272440343 285729947166 297888668322 333351605027 392544880686 428594920749 446833002483 666703210054 857189841498 893666004966 1000054815081 2000109630162 2333461235189 3000164445243 4666922470378 6000328890486 7000383705567 14000767411134 21001151116701 42002302233402