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34044070037445 = 32513241211517459
BaseRepresentation
bin1111011110110100000001…
…01100111000011111000101
311110112120200202221022200100
413233122000230320133011
513430234223412144240
6200223344015034313
710112413535500446
oct757320054703705
9143476622838610
1034044070037445
11a936011011076
123999b7620b999
1315cc45a591500
14859a5563d2cd
153e086ec27e30
hex1ef680b387c5

34044070037445 has 144 divisors (see below), whose sum is σ = 65766938852160. Its totient is φ = 16273847116800.

The previous prime is 34044070037441. The next prime is 34044070037449. The reversal of 34044070037445 is 54473007044043.

34044070037445 is a `hidden beast` number, since 34 + 0 + 440 + 70 + 0 + 3 + 74 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (34044070037441) and next prime (34044070037449).

It is not a de Polignac number, because 34044070037445 - 22 = 34044070037441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34044070037445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044070037441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65532126 + ... + 66049584.

It is an arithmetic number, because the mean of its divisors is an integer number (456714853140).

Almost surely, 234044070037445 is an apocalyptic number.

It is an amenable number.

34044070037445 is a deficient number, since it is larger than the sum of its proper divisors (31722868814715).

34044070037445 is a wasteful number, since it uses less digits than its factorization.

34044070037445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517748 (or 517732 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 45.

The spelling of 34044070037445 in words is "thirty-four trillion, forty-four billion, seventy million, thirty-seven thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 41 45 65 117 123 169 195 205 211 369 507 533 585 615 633 845 1055 1521 1599 1845 1899 2535 2665 2743 3165 4797 6929 7605 7995 8229 8651 9495 13715 20787 23985 24687 25953 34645 35659 41145 43255 62361 77859 103935 106977 112463 123435 129765 178295 311805 320931 337389 389295 517459 534885 562315 1012167 1462019 1552377 1604655 1686945 2587295 4386057 4657131 5060835 6726967 7310095 7761885 13158171 20180901 21215819 21930285 23285655 33634835 60542703 63647457 65790855 87450571 100904505 106079095 109183849 190942371 262351713 275805647 302713515 318237285 327551547 437252855 545919245 787055139 827416941 954711855 982654641 1311758565 1379028235 1419390037 1637757735 2482250823 3585473411 3935275695 4137084705 4258170111 4476537809 4913273205 7096950185 10756420233 12411254115 12774510333 13429613427 17927367055 18452070481 21290850555 22382689045 32269260699 40288840281 53782101165 55356211443 58194991517 63872551665 67148067135 92260352405 161346303495 166068634329 174584974551 201444201405 276781057215 290974957585 523754923653 756534889721 830343171645 872924872755 2269604669163 2618774618265 3782674448605 6808814007489 11348023345815 34044070037445