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142217945190 = 232519731139293
BaseRepresentation
bin1000010001110011011…
…0011010000001100110
3111121002102011011120100
42010130312122001212
54312230243221230
6145200052044530
713163202405546
oct2043466320146
9447072134510
10142217945190
11553503601a2
1223690603746
13105462376b9
146c5201b326
153a757d5660
hex211cd9a066

142217945190 has 96 divisors (see below), whose sum is σ = 394560298080. Its totient is φ = 35436538368.

The previous prime is 142217945189. The next prime is 142217945197. The reversal of 142217945190 is 91549712241.

142217945190 is a `hidden beast` number, since 1 + 4 + 22 + 179 + 451 + 9 + 0 = 666.

142217945190 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1422179451902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142217945197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444817 + ... + 694476.

It is an arithmetic number, because the mean of its divisors is an integer number (4110003105).

Almost surely, 2142217945190 is an apocalyptic number.

142217945190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142217945190 is an abundant number, since it is smaller than the sum of its proper divisors (252342352890).

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

142217945190 is a wasteful number, since it uses less digits than its factorization.

142217945190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139398 (or 1139395 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 142217945190 in words is "one hundred forty-two billion, two hundred seventeen million, nine hundred forty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 73 90 95 114 146 171 190 219 285 342 365 438 570 657 730 855 1095 1314 1387 1710 2190 2774 3285 4161 6570 6935 8322 12483 13870 20805 24966 41610 62415 124830 1139293 2278586 3417879 5696465 6835758 10253637 11392930 17089395 20507274 21646567 34178790 43293134 51268185 64939701 83168389 102536370 108232835 129879402 166336778 194819103 216465670 249505167 324698505 389638206 415841945 499010334 649397010 748515501 831683890 974095515 1247525835 1497031002 1580199391 1948191030 2495051670 3160398782 3742577505 4740598173 7485155010 7900996955 9481196346 14221794519 15801993910 23702990865 28443589038 47405981730 71108972595 142217945190