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34264562414412 = 223112891012625229
BaseRepresentation
bin1111100101001110101110…
…00100100011001101001100
311111022122211021020121122110
413302213113010203031030
513442342310434230122
6200512531143544020
710134350540665641
oct762472704431514
9144278737217573
1034264562414412
11aa10579231400
123a1485075b010
1316171992a1715
148665b1175dc8
153e647727790c
hex1f29d712334c

34264562414412 has 144 divisors (see below), whose sum is σ = 89746952853600. Its totient is φ = 10164882816000.

The previous prime is 34264562414399. The next prime is 34264562414429. The reversal of 34264562414412 is 21441426546243.

It is a super-2 number, since 2×342645624144122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11739414 + ... + 14364642.

It is an arithmetic number, because the mean of its divisors is an integer number (623242728150).

Almost surely, 234264562414412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34264562414412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44873476426800).

34264562414412 is an abundant number, since it is smaller than the sum of its proper divisors (55482390439188).

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

34264562414412 is a wasteful number, since it uses less digits than its factorization.

34264562414412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625448 (or 2625435 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 48.

The spelling of 34264562414412 in words is "thirty-four trillion, two hundred sixty-four billion, five hundred sixty-two million, four hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 101 121 132 178 202 242 267 303 356 363 404 484 534 606 726 979 1068 1111 1212 1452 1958 2222 2937 3333 3916 4444 5874 6666 8989 10769 11748 12221 13332 17978 21538 24442 26967 32307 35956 36663 43076 48884 53934 64614 73326 98879 107868 129228 146652 197758 296637 395516 593274 1087669 1186548 2175338 2625229 3263007 4350676 5250458 6526014 7875687 10500916 13052028 15751374 28877519 31502748 57755038 86632557 115510076 173265114 233645381 265148129 317652709 346530228 467290762 530296258 635305418 700936143 795444387 934581524 952958127 1060592516 1270610836 1401872286 1590888774 1905916254 2570099191 2803744572 2916629419 3181777548 3811832508 5140198382 5833258838 7710297573 8749888257 10280396764 11666517676 15420595146 17499776514 23598183481 28271091101 30841190292 32082923609 34999553028 47196366962 56542182202 64165847218 70794550443 84813273303 94392733924 96248770827 113084364404 128331694436 141589100886 169626546606 192497541654 259580018291 283178201772 339253093212 384995083308 519160036582 778740054873 1038320073164 1557480109746 2855380201201 3114960219492 5710760402402 8566140603603 11421520804804 17132281207206 34264562414412