Search a number
-
+
114035330515552 = 2559711376209527
BaseRepresentation
bin11001111011011011101011…
…010111100000001001100000
3112221202200010020211122002021
4121323123223113200021200
5104421323324102444202
61042311035125231224
733006531540122335
oct3173335327401140
9487680106748067
10114035330515552
11333761261aa046
1210958989562514
134b826409141a4
1420234a762498c
15d2b4c2288a37
hex67b6eb5e0260

114035330515552 has 96 divisors (see below), whose sum is σ = 233217949386240. Its totient is φ = 54858430018560.

The previous prime is 114035330515507. The next prime is 114035330515567. The reversal of 114035330515552 is 255515033530411.

It is a super-2 number, since 2×1140353305155522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114035330515499 and 114035330515508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15259813 + ... + 21469339.

It is an arithmetic number, because the mean of its divisors is an integer number (2429353639440).

Almost surely, 2114035330515552 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 114035330515552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116608974693120).

114035330515552 is an abundant number, since it is smaller than the sum of its proper divisors (119182618870688).

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

114035330515552 is a wasteful number, since it uses less digits than its factorization.

114035330515552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209804 (or 6209796 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 43.

The spelling of 114035330515552 in words is "one hundred fourteen trillion, thirty-five billion, three hundred thirty million, five hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 59 71 118 137 142 236 274 284 472 548 568 944 1096 1136 1888 2192 2272 4189 4384 8083 8378 9727 16166 16756 19454 32332 33512 38908 64664 67024 77816 129328 134048 155632 258656 311264 573893 1147786 2295572 4591144 6209527 9182288 12419054 18364576 24838108 49676216 99352432 198704864 366362093 440876417 732724186 850705199 881752834 1465448372 1701410398 1763505668 2930896744 3402820796 3527011336 5861793488 6805641592 7054022672 11723586976 13611283184 14108045344 26011708603 27222566368 50191606741 52023417206 60400069129 100383213482 104046834412 120800138258 200766426964 208093668824 241600276516 401532853928 416187337648 483200553032 803065707856 832374675296 966401106064 1606131415712 1932802212128 3563604078611 7127208157222 14254416314444 28508832628888 57017665257776 114035330515552