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42905044080 = 24325311922269
BaseRepresentation
bin100111111101010101…
…110000010001110000
311002202010102001210200
4213331111300101300
51200332142402310
631413231555200
73046140600033
oct477525602160
9132663361720
1042905044080
1117217862718
12839498bb00
134079b9b162
14211033701a
1511b1a709c0
hex9fd570470

42905044080 has 120 divisors (see below), whose sum is σ = 148737563520. Its totient is φ = 11072263680.

The previous prime is 42905044079. The next prime is 42905044081. The reversal of 42905044080 is 8044050924.

42905044080 is a `hidden beast` number, since 4 + 2 + 90 + 50 + 440 + 80 = 666.

42905044080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42905044079) and next prime (42905044081).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42905044081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938815 + ... + 983454.

It is an arithmetic number, because the mean of its divisors is an integer number (1239479696).

Almost surely, 242905044080 is an apocalyptic number.

42905044080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42905044080 is an abundant number, since it is smaller than the sum of its proper divisors (105832519440).

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

42905044080 is a wasteful number, since it uses less digits than its factorization.

42905044080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922319 (or 1922310 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42905044080 in words is "forty-two billion, nine hundred five million, forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 1922269 3844538 5766807 7689076 9611345 11533614 15378152 17300421 19222690 23067228 28834035 30756304 34600842 38445380 46134456 57668070 59590339 69201684 76890760 86502105 92268912 115336140 119180678 138403368 153781520 173004210 178771017 230672280 238361356 276806736 297951695 346008420 357542034 461344560 476722712 536313051 595903390 692016840 715084068 893855085 953445424 1072626102 1191806780 1384033680 1430168136 1787710170 2145252204 2383613560 2681565255 2860336272 3575420340 4290504408 4767227120 5363130510 7150840680 8581008816 10726261020 14301681360 21452522040 42905044080