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10481040013340 = 2251340311692359
BaseRepresentation
bin1001100010000100111010…
…1010101011100000011100
31101002222101200212211220202
42120201032222223200130
52333210132220411330
634142531234003032
72131141641112631
oct230411652534034
941088350784822
1010481040013340
113380a90935956
121213367116478
135b0486208480
142833dc232188
15132981292445
hex9884eaab81c

10481040013340 has 24 divisors (see below), whose sum is σ = 23703275107680. Its totient is φ = 3869922466368.

The previous prime is 10481040013337. The next prime is 10481040013343. The reversal of 10481040013340 is 4331004018401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10481040013337) and next prime (10481040013343).

It is a super-3 number, since 3×104810400133403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10481040013343) 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 7 ways as a sum of consecutive naturals, for example, 20155845920 + ... + 20155846439.

It is an arithmetic number, because the mean of its divisors is an integer number (987636462820).

Almost surely, 210481040013340 is an apocalyptic number.

10481040013340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10481040013340 is an abundant number, since it is smaller than the sum of its proper divisors (13222235094340).

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

10481040013340 is a wasteful number, since it uses less digits than its factorization.

10481040013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40311692381 (or 40311692379 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10481040013340 in words is "ten trillion, four hundred eighty-one billion, forty million, thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 40311692359 80623384718 161246769436 201558461795 403116923590 524052000667 806233847180 1048104001334 2096208002668 2620260003335 5240520006670 10481040013340