Search a number
-
+
1150414648416 = 2532112315788519
BaseRepresentation
bin10000101111011010000…
…011100111010001100000
311001222102101010021001100
4100233122003213101200
5122322022122222131
62240254310234400
7146054230111545
oct20573203472140
94058371107040
101150414648416
11403985094590
12166b5b655a00
1384639717b97
143d974cd2bcc
151edd194e7e6
hex10bda0e7460

1150414648416 has 144 divisors (see below), whose sum is σ = 3724069789440. Its totient is φ = 333453500160.

The previous prime is 1150414648337. The next prime is 1150414648423. The reversal of 1150414648416 is 6148464140511.

1150414648416 is a `hidden beast` number, since 1 + 1 + 50 + 4 + 146 + 48 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7821396 + ... + 7967123.

It is an arithmetic number, because the mean of its divisors is an integer number (25861595760).

Almost surely, 21150414648416 is an apocalyptic number.

1150414648416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1150414648416 is an abundant number, since it is smaller than the sum of its proper divisors (2573655141024).

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

1150414648416 is a wasteful number, since it uses less digits than its factorization.

1150414648416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15788569 (or 15788558 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 1150414648416 its reverse (6148464140511), we get a palindrome (7298878788927).

The spelling of 1150414648416 in words is "one trillion, one hundred fifty billion, four hundred fourteen million, six hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1518 1584 1656 2024 2208 2277 3036 3168 3312 4048 4554 6072 6624 8096 9108 12144 18216 24288 36432 72864 15788519 31577038 47365557 63154076 94731114 126308152 142096671 173673709 189462228 252616304 284193342 347347418 363135937 378924456 505232608 521021127 568386684 694694836 726271874 757848912 1042042254 1089407811 1136773368 1389389672 1452543748 1515697824 1563063381 2084084508 2178815622 2273546736 2778779344 2905087496 3126126762 3268223433 3994495307 4168169016 4357631244 4547093472 5557558688 5810174992 6252253524 6536446866 7988990614 8336338032 8715262488 11620349984 11983485921 12504507048 13072893732 15977981228 16672676064 17430524976 23966971842 25009014096 26145787464 31955962456 34861049952 35950457763 47933943684 50018028192 52291574928 63911924912 71900915526 95867887368 104583149856 127823849824 143801831052 191735774736 287603662104 383471549472 575207324208 1150414648416