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42329695140 = 223252959137443
BaseRepresentation
bin100111011011000010…
…111110001110100100
311001021000210022102200
4213123002332032210
51143142400221030
631240200134500
73025653320625
oct473302761644
9131230708380
1042329695140
1116a52011527
128254167430
133cb79239b5
142097b69a4c
15117b2c1d60
hex9db0be3a4

42329695140 has 144 divisors (see below), whose sum is σ = 135079963200. Its totient is φ = 10713878784.

The previous prime is 42329695097. The next prime is 42329695237. The reversal of 42329695140 is 4159692324.

42329695140 is a `hidden beast` number, since 42 + 3 + 2 + 96 + 9 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239259 + ... + 376701.

It is an arithmetic number, because the mean of its divisors is an integer number (938055300).

Almost surely, 242329695140 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 42329695140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67539981600).

42329695140 is an abundant number, since it is smaller than the sum of its proper divisors (92750268060).

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

42329695140 is a wasteful number, since it uses less digits than its factorization.

42329695140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137546 (or 137541 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 42329695140 in words is "forty-two billion, three hundred twenty-nine million, six hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 59 60 87 90 116 118 145 174 177 180 236 261 290 295 348 354 435 522 531 580 590 708 870 885 1044 1062 1180 1305 1711 1740 1770 2124 2610 2655 3422 3540 5133 5220 5310 6844 8555 10266 10620 15399 17110 20532 25665 30798 34220 51330 61596 76995 102660 137443 153990 274886 307980 412329 549772 687215 824658 1236987 1374430 1649316 2061645 2473974 2748860 3985847 4123290 4947948 6184935 7971694 8109137 8246580 11957541 12369870 15943388 16218274 19929235 23915082 24327411 24739740 32436548 35872623 39858470 40545685 47830164 48654822 59787705 71745246 72982233 79716940 81091370 97309644 119575410 121637055 143490492 145964466 162182740 179363115 235164973 239150820 243274110 291928932 358726230 364911165 470329946 486548220 705494919 717452460 729822330 940659892 1175824865 1410989838 1459644660 2116484757 2351649730 2821979676 3527474595 4232969514 4703299460 7054949190 8465939028 10582423785 14109898380 21164847570 42329695140