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140420232021321 = 33717317238957709
BaseRepresentation
bin11111111011011000100010…
…000011001000010101001001
3200102012001011101221002021000
4133323120202003020111021
5121401121113344140241
61214352055233405213
741402012152366020
oct3773304203102511
9612161141832230
10140420232021321
114081898225671a
12138ba46b709809
136047756812995
1426965384d18b7
1511379bc1d2eb6
hex7fb6220c8549

140420232021321 has 128 divisors (see below), whose sum is σ = 252637944192000. Its totient is φ = 75249075105792.

The previous prime is 140420232021271. The next prime is 140420232021361. The reversal of 140420232021321 is 123120232024041.

140420232021321 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 202 + 320 + 2 + 132 + 1 = 666.

It is not a de Polignac number, because 140420232021321 - 210 = 140420232020297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140420232021361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2433217815 + ... + 2433275523.

It is an arithmetic number, because the mean of its divisors is an integer number (1973733939000).

Almost surely, 2140420232021321 is an apocalyptic number.

It is an amenable number.

140420232021321 is a deficient number, since it is larger than the sum of its proper divisors (112217712170679).

140420232021321 is a wasteful number, since it uses less digits than its factorization.

140420232021321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60448 (or 60442 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140420232021321 its reverse (123120232024041), we get a palindrome (263540464045362).

The spelling of 140420232021321 in words is "one hundred forty trillion, four hundred twenty billion, two hundred thirty-two million, twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 317 357 459 951 1071 2219 2389 2853 3213 5389 6657 7167 8559 16167 16723 19971 21501 37723 40613 48501 50169 57709 59913 64503 113169 121839 145503 150507 173127 284291 339507 365517 403963 451521 519381 757313 852873 981053 1018521 1096551 1211889 1558143 2271939 2558619 2943159 3635667 5301191 6815817 6867371 7675857 8829477 10907001 12874321 15903573 18293753 20447451 20602113 26488431 38622963 47710719 54881259 61806339 90120247 115868889 128056271 137866801 143132157 164643777 185419017 270360741 310993801 347606667 384168813 413600403 493931331 811082223 932981403 965067607 1152506439 1240801209 2176956607 2343735617 2433246669 2798944209 2895202821 3457519317 3722403627 6530869821 7031206851 8396832627 8685608463 16406149319 19592609463 21093620553 26056825389 43703775917 49218447957 58777828389 63280861659 131111327751 147655343871 305926431419 393333983253 442966031613 742964190589 917779294257 1180001949759 2228892571767 2753337882771 5200749334123 6686677715301 8260013648313 15602248002369 20060033145903 46806744007107 140420232021321