Search a number
-
+
7040740706688 = 273131974231831
BaseRepresentation
bin110011001110100110011…
…0110010100100110000000
3220221002101022210022102210
41212131030312110212000
51410323414110103223
622550245512142120
71324451055362553
oct146351466244600
926832338708383
107040740706688
112274a63639277
12958661997940
133c0c28ca0670
141a4ab8d3669a
15c322c249893
hex6674cd94980

7040740706688 has 128 divisors (see below), whose sum is σ = 21200611219200. Its totient is φ = 2052361635840.

The previous prime is 7040740706641. The next prime is 7040740706693. The reversal of 7040740706688 is 8866070470407.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37021068 + ... + 37210763.

It is an arithmetic number, because the mean of its divisors is an integer number (165629775150).

Almost surely, 27040740706688 is an apocalyptic number.

7040740706688 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7040740706688 is an abundant number, since it is smaller than the sum of its proper divisors (14159870512512).

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

7040740706688 is a wasteful number, since it uses less digits than its factorization.

7040740706688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74231880 (or 74231868 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 7040740706688 in words is "seven trillion, forty billion, seven hundred forty million, seven hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3648 3952 4992 5928 7296 7904 11856 15808 23712 31616 47424 94848 74231831 148463662 222695493 296927324 445390986 593854648 890781972 965013803 1187709296 1410404789 1781563944 1930027606 2375418592 2820809578 2895041409 3563127888 3860055212 4231214367 4750837184 5641619156 5790082818 7126255776 7720110424 8462428734 9501674368 11283238312 11580165636 14252511552 15440220848 16924857468 18335262257 22566476624 23160331272 28505023104 30880441696 33849714936 36670524514 45132953248 46320662544 55005786771 61760883392 67699429872 73341049028 90265906496 92641325088 110011573542 123521766784 135398859744 146682098056 180531812992 185282650176 220023147084 270797719488 293364196112 370565300352 440046294168 541595438976 586728392224 880092588336 1173456784448 1760185176672 2346913568896 3520370353344 7040740706688