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42411323123120 = 24573122511085317
BaseRepresentation
bin10011010010010101001111…
…10110010110010110110000
312120011111001000210111002202
421221022213312112112300
521024331342204414440
6230111254243202332
711635055060312420
oct1151124766262660
9176144030714082
1042411323123120
11125715a5273246
12490b7223763a8
131a884a82ca403
14a68a0ccb0480
154d833870c615
hex2692a7d965b0

42411323123120 has 160 divisors (see below), whose sum is σ = 116379986251776. Its totient is φ = 14065695360000.

The previous prime is 42411323123101. The next prime is 42411323123177. The reversal of 42411323123120 is 2132132311424.

It is a happy number.

42411323123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38534702 + ... + 39620018.

Almost surely, 242411323123120 is an apocalyptic number.

42411323123120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42411323123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58189993125888).

42411323123120 is an abundant number, since it is smaller than the sum of its proper divisors (73968663128656).

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

42411323123120 is a wasteful number, since it uses less digits than its factorization.

42411323123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087619 (or 1087613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 42411323123120 its reverse (2132132311424), we get a palindrome (44543455434544).

The spelling of 42411323123120 in words is "forty-two trillion, four hundred eleven billion, three hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2251 2480 3472 4340 4502 8680 9004 11255 15757 17360 18008 22510 31514 36016 45020 63028 69781 78785 90040 126056 139562 157570 180080 252112 279124 315140 348905 488467 558248 630280 697810 976934 1085317 1116496 1260560 1395620 1953868 2170634 2442335 2791240 3907736 4341268 4884670 5426585 5582480 7597219 7815472 8682536 9769340 10853170 15194438 17365072 19538680 21706340 30388876 33644827 37986095 39077360 43412680 60777752 67289654 75972190 86825360 121555504 134579308 151944380 168224135 235513789 269158616 303888760 336448270 471027578 538317232 607777520 672896540 942055156 1177568945 1345793080 1884110312 2355137890 2443048567 2691586160 3768220624 4710275780 4886097134 9420551560 9772194268 12215242835 17101339969 18841103120 19544388536 24430485670 34202679938 39088777072 48860971340 68405359876 75734505577 85506699845 97721942680 136810719752 151469011154 171013399690 195443885360 273621439504 302938022308 342026799380 378672527885 530141539039 605876044616 684053598760 757345055770 1060283078078 1211752089232 1368107197520 1514690111540 2120566156156 2650707695195 3029380223080 4241132312312 5301415390390 6058760446160 8482264624624 10602830780780 21205661561560 42411323123120