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142110225144 = 23341672415449
BaseRepresentation
bin1000010001011001101…
…1011111001011111000
3111120210220110102110000
42010112123133023320
54312020204201034
6145141243153000
713160423661126
oct2042633371370
9446726412400
10142110225144
11552a5576568
1223660515760
1310529b20024
146c419ba916
153a6b108599
hex21166df2f8

142110225144 has 160 divisors (see below), whose sum is σ = 402158988000. Its totient is φ = 46882437120.

The previous prime is 142110225029. The next prime is 142110225161. The reversal of 142110225144 is 441522011241.

142110225144 is a `hidden beast` number, since 1 + 42 + 1 + 102 + 2 + 514 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26077332 + ... + 26082780.

It is an arithmetic number, because the mean of its divisors is an integer number (2513493675).

Almost surely, 2142110225144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142110225144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201079494000).

142110225144 is an abundant number, since it is smaller than the sum of its proper divisors (260048762856).

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

142110225144 is a wasteful number, since it uses less digits than its factorization.

142110225144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 142110225144 its reverse (441522011241), we get a palindrome (583632236385).

The spelling of 142110225144 in words is "one hundred forty-two billion, one hundred ten million, two hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 241 324 334 482 501 648 668 723 964 1002 1336 1446 1503 1928 2004 2169 2892 3006 4008 4338 4509 5449 5784 6012 6507 8676 9018 10898 12024 13014 13527 16347 17352 18036 19521 21796 26028 27054 32694 36072 39042 40247 43592 49041 52056 54108 65388 78084 80494 98082 108216 120741 130776 147123 156168 160988 196164 241482 294246 321976 362223 392328 441369 482964 588492 724446 882738 909983 965928 1086669 1176984 1313209 1448892 1765476 1819966 2173338 2626418 2729949 2897784 3260007 3530952 3639932 3939627 4346676 5252836 5459898 6520014 7279864 7879254 8189847 8693352 10505672 10919796 11818881 13040028 15758508 16379694 21839592 23637762 24569541 26080056 31517016 32759388 35456643 47275524 49139082 65518776 70913286 73708623 94551048 98278164 106369929 141826572 147417246 196556328 212739858 219305903 283653144 294834492 425479716 438611806 589668984 657917709 850959432 877223612 1315835418 1754447224 1973753127 2631670836 3947506254 5263341672 5921259381 7895012508 11842518762 15790025016 17763778143 23685037524 35527556286 47370075048 71055112572 142110225144