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42100340310540 = 223253749912668081
BaseRepresentation
bin10011001001010001111111…
…10101000100001000001100
312112001202100002202202211100
421210220333311010020030
521004232444104414130
6225312343534223100
711603435452110231
oct1144507765041014
9175052302682740
1042100340310540
1112461721608336
12487b3b2954a90
131a65077cb1345
14a5794b293788
154d01d6c56c60
hex264a3fd4420c

42100340310540 has 144 divisors (see below), whose sum is σ = 131418682668000. Its totient is φ = 10901440235520.

The previous prime is 42100340310521. The next prime is 42100340310569. The reversal of 42100340310540 is 4501304300124.

It is a happy number.

42100340310540 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 0 + 340 + 310 + 5 + 4 + 0 = 666.

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, 3010701 + ... + 9657380.

It is an arithmetic number, because the mean of its divisors is an integer number (912629740750).

Almost surely, 242100340310540 is an apocalyptic number.

It is an amenable number.

42100340310540 is an abundant number, since it is smaller than the sum of its proper divisors (89318342357460).

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

42100340310540 is a wasteful number, since it uses less digits than its factorization.

42100340310540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12668632 (or 12668627 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42100340310540 its reverse (4501304300124), we get a palindrome (46601644610664).

The spelling of 42100340310540 in words is "forty-two trillion, one hundred billion, three hundred forty million, three hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 499 555 666 740 998 1110 1332 1497 1665 1996 2220 2495 2994 3330 4491 4990 5988 6660 7485 8982 9980 14970 17964 18463 22455 29940 36926 44910 55389 73852 89820 92315 110778 166167 184630 221556 276945 332334 369260 553890 664668 830835 1107780 1661670 3323340 12668081 25336162 38004243 50672324 63340405 76008486 114012729 126680810 152016972 190021215 228025458 253361620 380042430 456050916 468718997 570063645 760084860 937437994 1140127290 1406156991 1874875988 2280254580 2343594985 2812313982 4218470973 4687189970 5624627964 6321372419 7030784955 8436941946 9374379940 12642744838 14061569910 16873883892 18964117257 21092354865 25285489676 28123139820 31606862095 37928234514 42184709730 56892351771 63213724190 75856469028 84369419460 94820586285 113784703542 126427448380 189641172570 227569407084 233890779503 284461758855 379282345140 467781559006 568923517710 701672338509 935563118012 1137847035420 1169453897515 1403344677018 2105017015527 2338907795030 2806689354036 3508361692545 4210034031054 4677815590060 7016723385090 8420068062108 10525085077635 14033446770180 21050170155270 42100340310540