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42140011340 = 22578326313789
BaseRepresentation
bin100111001111101111…
…011000101101001100
311000202210212101011202
4213033233120231030
51142300320330330
631205302405032
73021161120630
oct471757305514
9130683771152
1042140011340
1116964a35259
128200730778
133c8753c16b
14207a8b0dc0
151169804445
hex9cfbd8b4c

42140011340 has 96 divisors (see below), whose sum is σ = 102751165440. Its totient is φ = 14218626816.

The previous prime is 42140011337. The next prime is 42140011363. The reversal of 42140011340 is 4311004124.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3049166 + ... + 3062954.

It is an arithmetic number, because the mean of its divisors is an integer number (1070324640).

Almost surely, 242140011340 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 42140011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51375582720).

42140011340 is an abundant number, since it is smaller than the sum of its proper divisors (60611154100).

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

42140011340 is a wasteful number, since it uses less digits than its factorization.

42140011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14151 (or 14149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42140011340 its reverse (4311004124), we get a palindrome (46451015464).

The spelling of 42140011340 in words is "forty-two billion, one hundred forty million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 263 332 415 526 581 830 1052 1162 1315 1660 1841 2324 2630 2905 3682 5260 5810 7364 9205 11620 13789 18410 21829 27578 36820 43658 55156 68945 87316 96523 109145 137890 152803 193046 218290 275780 305606 386092 436580 482615 611212 764015 965230 1144487 1528030 1930460 2288974 3056060 3626507 4577948 5722435 7253014 8011409 11444870 14506028 16022818 18132535 22889740 25385549 32045636 36265070 40057045 50771098 72530140 80114090 101542196 126927745 160228180 253855490 301000081 507710980 602000162 1204000324 1505000405 2107000567 3010000810 4214001134 6020001620 8428002268 10535002835 21070005670 42140011340