Search a number
-
+
4010390739216 = 243243238812
BaseRepresentation
bin111010010110111101111…
…010100101100100010000
3112012101112000200221111100
4322112331322211210100
51011201240012123331
612310203103344400
7562512135556341
oct72267572454420
915171460627440
104010390739216
111306885026854
125492a78b2100
13231241734234
14dc1653360c8
156e4bd2ecae6
hex3a5bdea5910

4010390739216 has 135 divisors (see below), whose sum is σ = 11493567817797. Its totient is φ = 1305372176640.

The previous prime is 4010390739203. The next prime is 4010390739269. The reversal of 4010390739216 is 6129370930104.

The square root of 4010390739216 is 2002596.

It is a perfect power (a square), and thus also a powerful number.

4010390739216 is a `hidden beast` number, since 4 + 0 + 10 + 390 + 7 + 39 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2527451321616 + 1482939417600 = 1589796^2 + 1217760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1033337596 + ... + 1033341476.

Almost surely, 24010390739216 is an apocalyptic number.

4010390739216 is the 2002596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010390739216

4010390739216 is an abundant number, since it is smaller than the sum of its proper divisors (7483177078581).

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

4010390739216 is an frugal number, since it uses more digits than its factorization.

4010390739216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7862 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 4010390739216 in words is "four trillion, ten billion, three hundred ninety million, seven hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 2064 3096 3698 3881 5547 6192 7396 7762 11094 11643 14792 15524 16641 22188 23286 29584 31048 33282 34929 44376 46572 62096 66564 69858 88752 93144 133128 139716 166883 186288 266256 279432 333766 500649 558864 667532 1001298 1335064 1501947 2002596 2670128 3003894 4005192 6007788 7175969 8010384 12015576 14351938 15062161 21527907 24031152 28703876 30124322 43055814 45186483 57407752 60248644 64583721 86111628 90372966 114815504 120497288 129167442 135559449 172223256 180745932 240994576 258334884 271118898 344446512 361491864 516669768 542237796 647672923 722983728 1033339536 1084475592 1295345846 1943018769 2168951184 2590691692 3886037538 5181383384 5829056307 7772075076 10362766768 11658112614 15544150152 23316225228 27849935689 31088300304 46632450456 55699871378 83549807067 93264900912 111399742756 167099614134 222799485512 250649421201 334199228268 445598971024 501298842402 668398456536 1002597684804 1336796913072 2005195369608 4010390739216