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34310055641352 = 233231633221118387
BaseRepresentation
bin1111100110100011011101…
…01011011100000100001000
311111111000020202202222212120
413303101232223130010020
513444113443221010402
6200545453313411240
710140551110021431
oct763215653340410
9144430222688776
1034310055641352
11aa288a3a48117
123a21628269b20
13161b569435b0a
14868889116488
153e773b1423bc
hex1f346eadc108

34310055641352 has 128 divisors (see below), whose sum is σ = 90082319477760. Its totient is φ = 10868857655040.

The previous prime is 34310055641341. The next prime is 34310055641479. The reversal of 34310055641352 is 25314655001343.

It is a happy number.

It is a super-2 number, since 2×343100556413522 (a number of 28 digits) contains 22 as substring.

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, 289753503 + ... + 289871889.

It is an arithmetic number, because the mean of its divisors is an integer number (703768120920).

Almost surely, 234310055641352 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 34310055641352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45041159738880).

34310055641352 is an abundant number, since it is smaller than the sum of its proper divisors (55772263836408).

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

34310055641352 is a wasteful number, since it uses less digits than its factorization.

34310055641352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121803 (or 121799 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 34310055641352 in words is "thirty-four trillion, three hundred ten billion, fifty-five million, six hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 163 184 276 326 489 552 652 978 1304 1956 3221 3749 3912 6442 7498 9663 11247 12884 14996 19326 22494 25768 29992 38652 44988 74083 77304 89976 118387 148166 222249 236774 296332 355161 444498 473548 525023 592664 710322 888996 947096 1050046 1420644 1575069 1777992 2100092 2722901 2841288 3150138 4200184 5445802 6300276 8168703 10891604 12075529 12600552 16337406 19297081 21783208 24151058 32674812 36226587 38594162 48302116 57891243 65349624 72453174 77188324 96604232 115782486 144906348 154376648 231564972 289812696 381324527 443832863 463129944 762649054 887665726 1143973581 1331498589 1525298108 1775331452 2287947162 2662997178 3050596216 3550662904 4575894324 5325994356 8770464121 9151788648 10651988712 17540928242 26311392363 35081856484 52622784726 62155897901 70163712968 105245569452 124311795802 186467693703 210491138904 248623591604 372935387406 497247183208 745870774812 1429585651723 1491741549624 2859171303446 4288756955169 5718342606892 8577513910338 11436685213784 17155027820676 34310055641352