Search a number
-
+
140213112024321 = 3372237363121613
BaseRepresentation
bin11111111000010111101000…
…101111000010110100000001
3200101110020112212010002001000
4133320113220233002310001
5121334222423134234241
61214113003041202213
741351030424433200
oct3770275057026401
9611406485102030
10140213112024321
1140749057431386
12138862a7630369
13603106939513b
14268a4ca979237
1511323e8b3eeb6
hex7f85e8bc2d01

140213112024321 has 96 divisors (see below), whose sum is σ = 255597089137920. Its totient is φ = 75588382856448.

The previous prime is 140213112024317. The next prime is 140213112024329. The reversal of 140213112024321 is 123420211312041.

140213112024321 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 311 + 2 + 0 + 24 + 321 = 666.

It is not a de Polignac number, because 140213112024321 - 22 = 140213112024317 is a prime.

It is a super-2 number, since 2×1402131120243212 (a number of 29 digits) contains 22 as substring.

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 (140213112024329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29339490 + ... + 33782123.

It is an arithmetic number, because the mean of its divisors is an integer number (2662469678520).

Almost surely, 2140213112024321 is an apocalyptic number.

It is an amenable number.

140213112024321 is a deficient number, since it is larger than the sum of its proper divisors (115383977113599).

140213112024321 is a wasteful number, since it uses less digits than its factorization.

140213112024321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63121732 (or 63121719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 140213112024321 its reverse (123420211312041), we get a palindrome (263633323336362).

The spelling of 140213112024321 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred twelve million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 73 147 161 189 207 219 441 483 511 621 657 1127 1323 1449 1533 1679 1971 3381 3577 4347 4599 5037 10143 10731 11753 13797 15111 30429 32193 35259 45333 82271 96579 105777 246813 317331 740439 2221317 63121613 189364839 441851291 568094517 1325553873 1451797099 1704283551 3092959037 3976661619 4355391297 4607877749 9278877111 10162579693 11929984857 13066173891 13823633247 27836631333 30487739079 32255144243 39198521673 41470899741 71138057851 83509893999 91463217237 96765432729 105981188227 124412699223 213414173553 225786009701 274389651711 290296298187 317943564681 640242520659 677358029103 741868317589 870888894561 953830694043 1920727561977 2032074087309 2225604952767 2861492082129 5193078223123 6096222261927 6676814858301 15579234669369 20030444574903 46737704008107 140213112024321