Search a number
-
+
140122052142000 = 2435361382847137
BaseRepresentation
bin11111110111000010110101…
…001001001010001110110000
3200101010112111201212202200220
4133313002311021022032300
5121331224430322021000
61214003103200013040
741341325035261545
oct3767026511121660
9611115451782626
10140122052142000
1140713479506a95
1213870713901180
1360255b6aca476
142685d2cdc2bcc
15112ed697041a0
hex7f70b524a3b0

140122052142000 has 160 divisors (see below), whose sum is σ = 459159292323264. Its totient is φ = 36753325056000.

The previous prime is 140122052141927. The next prime is 140122052142013. The reversal of 140122052142000 is 241250221041.

140122052142000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1401220521420003 (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191057569 + ... + 191789568.

Almost surely, 2140122052142000 is an apocalyptic number.

140122052142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140122052142000 is an abundant number, since it is smaller than the sum of its proper divisors (319037240181264).

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

140122052142000 is a wasteful number, since it uses less digits than its factorization.

140122052142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382847224 (or 382847208 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 140122052142000 in words is "one hundred forty trillion, one hundred twenty-two billion, fifty-two million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 125 150 183 200 240 244 250 300 305 366 375 400 488 500 600 610 732 750 915 976 1000 1200 1220 1464 1500 1525 1830 2000 2440 2928 3000 3050 3660 4575 4880 6000 6100 7320 7625 9150 12200 14640 15250 18300 22875 24400 30500 36600 45750 61000 73200 91500 122000 183000 366000 382847137 765694274 1148541411 1531388548 1914235685 2297082822 3062777096 3828471370 4594165644 5742707055 6125554192 7656942740 9188331288 9571178425 11485414110 15313885480 18376662576 19142356850 22970828220 23353675357 28713535275 30627770960 38284713700 45941656440 46707350714 47855892125 57427070550 70061026071 76569427400 91883312880 93414701428 95711784250 114854141100 116768376785 140122052142 143567676375 153138854800 186829402856 191423568500 229708282200 233536753570 280244104284 287135352750 350305130355 373658805712 382847137000 459416564400 467073507140 560488208568 574270705500 583841883925 700610260710 765694274000 934147014280 1120976417136 1148541411000 1167683767850 1401220521420 1751525651775 1868294028560 2297082822000 2335367535700 2802441042840 2919209419625 3503051303550 4670735071400 5604882085680 5838418839250 7006102607100 8757628258875 9341470142800 11676837678500 14012205214200 17515256517750 23353675357000 28024410428400 35030513035500 46707350714000 70061026071000 140122052142000