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34464360666420 = 22335223286201301
BaseRepresentation
bin1111101011000010110111…
…11110011001010100110100
311112000202112112220102221000
413311201123332121110310
514004131002312311140
6201144413025523300
710154652662055246
oct765413376312464
9145022475812830
1034464360666420
11aa88287126323
123a475107a3530
13162cc8a873a89
1487212653c096
153eb76cb49a30
hex1f585bf99534

34464360666420 has 96 divisors (see below), whose sum is σ = 107703273968640. Its totient is φ = 9149283158400.

The previous prime is 34464360666413. The next prime is 34464360666469. The reversal of 34464360666420 is 2466606346443.

It is a super-2 number, since 2×344643606664202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142980231 + ... + 143221070.

It is an arithmetic number, because the mean of its divisors is an integer number (1121909103840).

Almost surely, 234464360666420 is an apocalyptic number.

34464360666420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34464360666420 is an abundant number, since it is smaller than the sum of its proper divisors (73238913302220).

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

34464360666420 is a wasteful number, since it uses less digits than its factorization.

34464360666420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286201542 (or 286201534 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 54.

The spelling of 34464360666420 in words is "thirty-four trillion, four hundred sixty-four billion, three hundred sixty million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 223 270 446 540 669 892 1115 1338 2007 2230 2676 3345 4014 4460 6021 6690 8028 10035 12042 13380 20070 24084 30105 40140 60210 120420 286201301 572402602 858603903 1144805204 1431006505 1717207806 2575811709 2862013010 3434415612 4293019515 5151623418 5724026020 7727435127 8586039030 10303246836 12879058545 15454870254 17172078060 25758117090 30909740508 38637175635 51516234180 63822890123 77274351270 127645780246 154548702540 191468670369 255291560492 319114450615 382937340738 574406011107 638228901230 765874681476 957343351845 1148812022214 1276457802460 1723218033321 1914686703690 2297624044428 2872030055535 3446436066642 3829373407380 5744060111070 6892872133284 8616090166605 11488120222140 17232180333210 34464360666420