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3342042100440 = 2332523403628273
BaseRepresentation
bin110000101000100001001…
…110110111001011011000
3102211111101122211021212100
4300220201032313023120
5414224000234203230
611035151332443400
7463311630066021
oct60504116671330
912744348737770
103342042100440
11107939670332a
1245b863179560
131b31cb809004
14b7a818ddc48
155be02d16660
hex30a213b72d8

3342042100440 has 96 divisors (see below), whose sum is σ = 11333881933920. Its totient is φ = 852462910464.

The previous prime is 3342042100399. The next prime is 3342042100513. The reversal of 3342042100440 is 440012402433.

It is a happy number.

3342042100440 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 0 + 4 + 210 + 0 + 440 = 666.

It is a super-2 number, since 2×33420421004402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 201805857 + ... + 201822416.

It is an arithmetic number, because the mean of its divisors is an integer number (118061270145).

Almost surely, 23342042100440 is an apocalyptic number.

3342042100440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342042100440 is an abundant number, since it is smaller than the sum of its proper divisors (7991839833480).

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

3342042100440 is a wasteful number, since it uses less digits than its factorization.

3342042100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403628313 (or 403628306 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3342042100440 its reverse (440012402433), we get a palindrome (3782054502873).

The spelling of 3342042100440 in words is "three trillion, three hundred forty-two billion, forty-two million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 403628273 807256546 1210884819 1614513092 2018141365 2421769638 3229026184 3632654457 4036282730 4843539276 6054424095 7265308914 8072565460 9283450279 9687078552 12108848190 14530617828 16145130920 18163272285 18566900558 24217696380 27850350837 29061235656 36326544570 37133801116 46417251395 48435392760 55700701674 72653089140 74267602232 83551052511 92834502790 111401403348 139251754185 145306178280 167102105022 185669005580 222802806696 278503508370 334204210044 371338011160 417755262555 557007016740 668408420088 835510525110 1114014033480 1671021050220 3342042100440