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142142224201110 = 232572102131568851
BaseRepresentation
bin100000010100011100010000…
…110001111111010110010110
3200122021122221000000101122100
4200110130100301333112112
5122112324233343413420
61222151123014142530
741640302552406600
oct4024342061772626
9618248830011570
10142142224201110
11413221a6a15401
1213b38147351a46
136140c5358ca93
142715a12946170
1511676a35d8190
hex814710c7f596

142142224201110 has 144 divisors (see below), whose sum is σ = 430328785631472. Its totient is φ = 32457828816000.

The previous prime is 142142224200989. The next prime is 142142224201111. The reversal of 142142224201110 is 11102422241241.

142142224201110 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 4 + 222 + 420 + 1 + 1 + 10 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142142224201111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11281816 + ... + 20287035.

It is an arithmetic number, because the mean of its divisors is an integer number (2988394344663).

Almost surely, 2142142224201110 is an apocalyptic number.

142142224201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142142224201110 is an abundant number, since it is smaller than the sum of its proper divisors (288186561430362).

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

142142224201110 is a wasteful number, since it uses less digits than its factorization.

142142224201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31569899 (or 31569889 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 142142224201110 its reverse (11102422241241), we get a palindrome (153244646442351).

The spelling of 142142224201110 in words is "one hundred forty-two trillion, one hundred forty-two billion, two hundred twenty-four million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1021 1470 2042 2205 3063 4410 5105 6126 7147 9189 10210 14294 15315 18378 21441 30630 35735 42882 45945 50029 64323 71470 91890 100058 107205 128646 150087 214410 250145 300174 321615 450261 500290 643230 750435 900522 1500870 2251305 4502610 31568851 63137702 94706553 157844255 189413106 220981957 284119659 315688510 441963914 473532765 568239318 662945871 947065530 1104909785 1325891742 1420598295 1546873699 1988837613 2209819570 2841196590 3093747398 3314729355 3977675226 4640621097 6629458710 7734368495 9281242194 9944188065 13921863291 15468736990 19888376130 23203105485 27843726582 32231796871 46406210970 64463593742 69609316455 96695390613 139218632910 161158984355 193390781226 225622578097 290086171839 322317968710 451245156194 483476953065 580172343678 676867734291 966953906130 1128112890485 1353735468582 1450430859195 1579358046679 2030603202873 2256225780970 2900861718390 3158716093358 3384338671455 4061206405746 4738074140037 6768677342910 7896790233395 9476148280074 10153016014365 14214222420111 15793580466790 20306032028730 23690370700185 28428444840222 47380741400370 71071112100555 142142224201110