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40759043304 = 23374328319937
BaseRepresentation
bin100101111101011011…
…011010010011101000
310220012120022221011110
4211331123122103220
51131433303341204
630420251430320
72642022103020
oct457533322350
9126176287143
1040759043304
1116316465561
127a961553a0
133ac73c5305
141d89314a80
1510d846d889
hex97d6da4e8

40759043304 has 128 divisors (see below), whose sum is σ = 119589719040. Its totient is φ = 11333855232.

The previous prime is 40759043267. The next prime is 40759043321. The reversal of 40759043304 is 40334095704.

It is a super-3 number, since 3×407590433043 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2034424 + ... + 2054360.

It is an arithmetic number, because the mean of its divisors is an integer number (934294680).

Almost surely, 240759043304 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 40759043304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59794859520).

40759043304 is an abundant number, since it is smaller than the sum of its proper divisors (78830675736).

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

40759043304 is a wasteful number, since it uses less digits than its factorization.

40759043304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20279 (or 20275 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 40759043304 in words is "forty billion, seven hundred fifty-nine million, forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 283 301 344 516 566 602 849 903 1032 1132 1204 1698 1806 1981 2264 2408 3396 3612 3962 5943 6792 7224 7924 11886 12169 15848 19937 23772 24338 36507 39874 47544 48676 59811 73014 79748 85183 97352 119622 139559 146028 159496 170366 239244 255549 279118 292056 340732 418677 478488 511098 558236 681464 837354 857291 1022196 1116472 1674708 1714582 2044392 2571873 3349416 3429164 5143746 5642171 6001037 6858328 10287492 11284342 12002074 16926513 18003111 20574984 22568684 24004148 33853026 36006222 39495197 45137368 48008296 67706052 72012444 78990394 118485591 135412104 144024888 157980788 236971182 242613353 315961576 473942364 485226706 727840059 947884728 970453412 1455680118 1698293471 1940906824 2911360236 3396586942 5094880413 5822720472 6793173884 10189760826 13586347768 20379521652 40759043304