Search a number
-
+
740601047472 = 2431113241447703
BaseRepresentation
bin10101100011011110100…
…00110010100110110000
32121210121202112022100220
422301233100302212300
544113222332004342
61324121042413040
7104335533015216
oct12615720624660
92553552468326
10740601047472
112660a5a90590
12bb649961180
1354ab8bc3aa0
1427bb964ccb6
15143e87175ec
hexac6f4329b0

740601047472 has 160 divisors (see below), whose sum is σ = 2257029874176. Its totient is φ = 206301081600.

The previous prime is 740601047471. The next prime is 740601047479. The reversal of 740601047472 is 274740106047.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (740601047471) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1430373 + ... + 1878075.

Almost surely, 2740601047472 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 740601047472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128514937088).

740601047472 is an abundant number, since it is smaller than the sum of its proper divisors (1516428826704).

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

740601047472 is a wasteful number, since it uses less digits than its factorization.

740601047472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447979 (or 447973 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 740601047472 in words is "seven hundred forty billion, six hundred one million, forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 241 264 286 312 429 482 528 572 624 723 858 964 1144 1446 1716 1928 2288 2651 2892 3133 3432 3856 5302 5784 6266 6864 7953 9399 10604 11568 12532 15906 18798 21208 25064 31812 34463 37596 42416 50128 63624 68926 75192 103389 127248 137852 150384 206778 275704 413556 447703 551408 827112 895406 1343109 1654224 1790812 2686218 3581624 4924733 5372436 5820139 7163248 9849466 10744872 11640278 14774199 17460417 19698932 21489744 23280556 29548398 34920834 39397864 46561112 59096796 64021529 69841668 78795728 93122224 107896423 118193592 128043058 139683336 192064587 215792846 236387184 256086116 279366672 323689269 384129174 431585692 512172232 647378538 768258348 863171384 1024344464 1186860653 1294757076 1402653499 1536516696 1726342768 2373721306 2589514152 2805306998 3073033392 3560581959 4207960497 4747442612 5179028304 5610613996 7121163918 8415920994 9494885224 11221227992 14242327836 15429188489 16831841988 18989770448 22442455984 28484655672 30858376978 33663683976 46287565467 56969311344 61716753956 67327367952 92575130934 123433507912 185150261868 246867015824 370300523736 740601047472