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140213224010040 = 23354754745448813
BaseRepresentation
bin11111111000010111101111…
…011010001111000100111000
3200101110020211122211112120020
4133320113233122033010320
5121334223140321310130
61214113022121330440
741351033254335156
oct3770275732170470
9611406748745506
10140213224010040
1140749104669965
1213886319036a20
13603108664428c
14268a4db7aa3d6
1511324038b0e10
hex7f85ef68f138

140213224010040 has 128 divisors (see below), whose sum is σ = 430374817244160. Its totient is φ = 36527755590144.

The previous prime is 140213224010017. The next prime is 140213224010047. The reversal of 140213224010040 is 40010422312041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140213224010047) 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, 19639327 + ... + 25809486.

It is an arithmetic number, because the mean of its divisors is an integer number (3362303259720).

Almost surely, 2140213224010040 is an apocalyptic number.

140213224010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140213224010040 is an abundant number, since it is smaller than the sum of its proper divisors (290161593234120).

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

140213224010040 is a wasteful number, since it uses less digits than its factorization.

140213224010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45449421 (or 45449417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140213224010040 its reverse (40010422312041), we get a palindrome (180223646322081).

The spelling of 140213224010040 in words is "one hundred forty trillion, two hundred thirteen billion, two hundred twenty-four million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 547 564 705 940 1094 1128 1410 1641 1880 2188 2735 2820 3282 4376 5470 5640 6564 8205 10940 13128 16410 21880 25709 32820 51418 65640 77127 102836 128545 154254 205672 257090 308508 385635 514180 617016 771270 1028360 1542540 3085080 45448813 90897626 136346439 181795252 227244065 272692878 363590504 454488130 545385756 681732195 908976260 1090771512 1363464390 1817952520 2136094211 2726928780 4272188422 5453857560 6408282633 8544376844 10680471055 12816565266 17088753688 21360942110 24860500711 25633130532 32041413165 42721884220 49721001422 51266261064 64082826330 74581502133 85443768440 99442002844 124302503555 128165652660 149163004266 198884005688 248605007110 256331305320 298326008532 372907510665 497210014220 596652017064 745815021330 994420028440 1168443533417 1491630042660 2336887066834 2983260085320 3505330600251 4673774133668 5842217667085 7010661200502 9347548267336 11684435334170 14021322401004 17526653001255 23368870668340 28042644802008 35053306002510 46737741336680 70106612005020 140213224010040