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42156240540 = 223567103910093
BaseRepresentation
bin100111010000101101…
…010010111010011100
311000210221101220110020
4213100231102322130
51142313444144130
631211042312140
73021446063241
oct472055227234
9130727356406
1042156240540
111697310a517
128206058650
133c8aa0213b
14207cad75c8
15116ae5ce10
hex9d0b52e9c

42156240540 has 96 divisors (see below), whose sum is σ = 119926410240. Its totient is φ = 11062123776.

The previous prime is 42156240527. The next prime is 42156240547. The reversal of 42156240540 is 4504265124.

42156240540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42156240547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4171734 + ... + 4181826.

It is an arithmetic number, because the mean of its divisors is an integer number (1249233440).

Almost surely, 242156240540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42156240540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59963205120).

42156240540 is an abundant number, since it is smaller than the sum of its proper divisors (77770169700).

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

42156240540 is a wasteful number, since it uses less digits than its factorization.

42156240540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11211 (or 11209 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 42156240540 in words is "forty-two billion, one hundred fifty-six million, two hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1039 1340 2010 2078 3117 4020 4156 5195 6234 10093 10390 12468 15585 20186 20780 30279 31170 40372 50465 60558 62340 69613 100930 121116 139226 151395 201860 208839 278452 302790 348065 417678 605580 676231 696130 835356 1044195 1352462 1392260 2028693 2088390 2704924 3381155 4057386 4176780 6762310 8114772 10143465 10486627 13524620 20286930 20973254 31459881 40573860 41946508 52433135 62919762 104866270 125839524 157299405 209732540 314598810 629197620 702604009 1405208018 2107812027 2810416036 3513020045 4215624054 7026040090 8431248108 10539060135 14052080180 21078120270 42156240540