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3455241505152 = 27331714088153
BaseRepresentation
bin110010010001111100011…
…100010100100110000000
3110020022120201110212102020
4302101330130110212000
5423102313311131102
611203152132521440
7504430051130013
oct62217434244600
913208521425366
103455241505152
1111123a582a568
12479795480280
131c0a9bac67a8
14bd33d99537a
155ed2ac40bbc
hex3247c714980

3455241505152 has 128 divisors (see below), whose sum is σ = 9607488952320. Its totient is φ = 1098895257600.

The previous prime is 3455241505141. The next prime is 3455241505207. The reversal of 3455241505152 is 2515051425543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1198893 + ... + 2889260.

It is an arithmetic number, because the mean of its divisors is an integer number (75058507440).

Almost surely, 23455241505152 is an apocalyptic number.

3455241505152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3455241505152 is an abundant number, since it is smaller than the sum of its proper divisors (6152247447168).

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

3455241505152 is a wasteful number, since it uses less digits than its factorization.

3455241505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088272 (or 4088260 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 3455241505152 in words is "three trillion, four hundred fifty-five billion, two hundred forty-one million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 71 93 96 124 128 142 186 192 213 248 284 372 384 426 496 568 744 852 992 1136 1488 1704 1984 2201 2272 2976 3408 3968 4402 4544 5952 6603 6816 8804 9088 11904 13206 13632 17608 26412 27264 35216 52824 70432 105648 140864 211296 281728 422592 845184 4088153 8176306 12264459 16352612 24528918 32705224 49057836 65410448 98115672 126732743 130820896 196231344 253465486 261641792 290258863 380198229 392462688 506930972 523283584 580517726 760396458 784925376 870776589 1013861944 1161035452 1520792916 1569850752 1741553178 2027723888 2322070904 3041585832 3483106356 4055447776 4644141808 6083171664 6966212712 8110895552 8998024753 9288283616 12166343328 13932425424 16221791104 17996049506 18576567232 24332686656 26994074259 27864850848 35992099012 37153134464 48665373312 53988148518 55729701696 71984198024 107976297036 111459403392 143968396048 215952594072 287936792096 431905188144 575873584192 863810376288 1151747168384 1727620752576 3455241505152