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142321412226560 = 29577942043093
BaseRepresentation
bin100000010111000011001001…
…001110000011111000000000
3200122220210102220220020012112
4200113003021032003320000
5122123243223012222220
61222405315411314452
741656245161451140
oct4027031116037000
9618823386806175
10142321412226560
1141391198988036
1213b66a14baba28
136154b0bc1abc8
14272057097a920
15116c18e8a15c5
hex8170c9383e00

142321412226560 has 80 divisors (see below), whose sum is σ = 389986084087776. Its totient is φ = 48795912757248.

The previous prime is 142321412226547. The next prime is 142321412226563. The reversal of 142321412226560 is 65622214123241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1423214122265603 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142321412226563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3971003627 + ... + 3971039466.

Almost surely, 2142321412226560 is an apocalyptic number.

142321412226560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142321412226560 is an abundant number, since it is smaller than the sum of its proper divisors (247664671861216).

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

142321412226560 is an frugal number, since it uses more digits than its factorization.

142321412226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942043123 (or 7942043107 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 142321412226560 in words is "one hundred forty-two trillion, three hundred twenty-one billion, four hundred twelve million, two hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 7942043093 15884086186 31768172372 39710215465 55594301651 63536344744 79420430930 111188603302 127072689488 158840861860 222377206604 254145378976 277971508255 317681723720 444754413208 508290757952 555943016510 635363447440 889508826416 1016581515904 1111886033020 1270726894880 1779017652832 2033163031808 2223772066040 2541453789760 3558035305664 4066326063616 4447544132080 5082907579520 7116070611328 8895088264160 10165815159040 14232141222656 17790176528320 20331630318080 28464282445312 35580353056640 71160706113280 142321412226560