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142140220032 = 2735319336187
BaseRepresentation
bin1000010001100000110…
…1111010001010000000
3111120212222220022200210
42010120031322022000
54312100344020112
6145144234114120
713161236635566
oct2043015721200
9446788808623
10142140220032
11553104a3128
122366a57b940
13105330c2895
146c45987a36
153a6da80b3c
hex211837a280

142140220032 has 128 divisors (see below), whose sum is σ = 386687597760. Its totient is φ = 46243971072.

The previous prime is 142140219943. The next prime is 142140220043. The reversal of 142140220032 is 230022041241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 142140219990 and 142140220008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3909843 + ... + 3946029.

Almost surely, 2142140220032 is an apocalyptic number.

142140220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142140220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193343798880).

142140220032 is an abundant number, since it is smaller than the sum of its proper divisors (244547377728).

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

142140220032 is a wasteful number, since it uses less digits than its factorization.

142140220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36450 (or 36438 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 142140220032 its reverse (230022041241), we get a palindrome (372162261273).

The spelling of 142140220032 in words is "one hundred forty-two billion, one hundred forty million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 193 212 318 384 386 424 579 636 772 848 1158 1272 1544 1696 2316 2544 3088 3392 4632 5088 6176 6784 9264 10176 10229 12352 18528 20352 20458 24704 30687 36187 37056 40916 61374 72374 74112 81832 108561 122748 144748 163664 217122 245496 289496 327328 434244 490992 578992 654656 868488 981984 1157984 1309312 1736976 1917911 1963968 2315968 3473952 3835822 3927936 4631936 5753733 6947904 6984091 7671644 11507466 13895808 13968182 15343288 20952273 23014932 27936364 30686576 41904546 46029864 55872728 61373152 83809092 92059728 111745456 122746304 167618184 184119456 223490912 245492608 335236368 368238912 370156823 446981824 670472736 736477824 740313646 893963648 1110470469 1340945472 1480627292 2220940938 2681890944 2961254584 4441881876 5922509168 8883763752 11845018336 17767527504 23690036672 35535055008 47380073344 71070110016 142140220032