Search a number
-
+
10344303113144 = 23711137916351217
BaseRepresentation
bin1001011010000111100010…
…0000110011001110111000
31100121220110021021121120212
42112201320200303032320
52323440113044110034
634000035055410252
72115231321461060
oct226417040631670
940556407247525
1010344303113144
113328aa3482a10
1211b0966223988
135a06046a8b80
1427a94a1363a0
1512e12bc852ce
hex968788333b8

10344303113144 has 128 divisors (see below), whose sum is σ = 26371244390400. Its totient is φ = 3673137162240.

The previous prime is 10344303113117. The next prime is 10344303113147. The reversal of 10344303113144 is 44131130344301.

It is a self number, because there is not a number n which added to its sum of digits gives 10344303113144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344303113147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7542977 + ... + 8808240.

It is an arithmetic number, because the mean of its divisors is an integer number (206025346800).

Almost surely, 210344303113144 is an apocalyptic number.

10344303113144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10344303113144 is an abundant number, since it is smaller than the sum of its proper divisors (16026941277256).

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

10344303113144 is a wasteful number, since it uses less digits than its factorization.

10344303113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16351333 (or 16351329 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 10344303113144 its reverse (44131130344301), we get a palindrome (54475433457445).

The spelling of 10344303113144 in words is "ten trillion, three hundred forty-four billion, three hundred three million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 79 88 91 104 143 154 158 182 286 308 316 364 553 572 616 632 728 869 1001 1027 1106 1144 1738 2002 2054 2212 3476 4004 4108 4424 6083 6952 7189 8008 8216 11297 12166 14378 22594 24332 28756 45188 48664 57512 79079 90376 158158 316316 632632 16351217 32702434 65404868 114458519 130809736 179863387 212565821 228917038 359726774 425131642 457834076 719453548 850263284 915668152 1259043709 1291746143 1438907096 1487960747 1700526568 2338224031 2518087418 2583492286 2975921494 4676448062 5036174836 5166984572 5951842988 9042223001 9352896124 10072349672 10333969144 11903685976 14209207573 16367568217 16792699859 18084446002 18705792248 28418415146 32735136434 33585399718 36168892004 56836830292 65470272868 67170799436 72337784008 99464453011 113673660584 117548899013 130940545736 134341598872 184719698449 198928906022 235097798026 369439396898 397857812044 470195596052 738878793796 795715624088 940391192104 1293037889143 1477757587592 2586075778286 5172151556572 10344303113144