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1442130140 = 2251147211661
BaseRepresentation
bin101010111110101…
…0010100011011100
310201111121210122102
41111331102203130
510423141131030
6355033504232
750510622023
oct12575224334
93644553572
101442130140
116800547a0
12342b72078
1319ca0ca59
14d975b8ba
1586917c45
hex55f528dc

1442130140 has 96 divisors (see below), whose sum is σ = 3395202048. Its totient is φ = 510048000.

The previous prime is 1442130139. The next prime is 1442130149. The reversal of 1442130140 is 410312441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442130149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181410 + ... + 2182070.

It is an arithmetic number, because the mean of its divisors is an integer number (35366688).

Almost surely, 21442130140 is an apocalyptic number.

1442130140 is a gapful number since it is divisible by the number (10) 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 1442130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697601024).

1442130140 is an abundant number, since it is smaller than the sum of its proper divisors (1953071908).

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

1442130140 is a wasteful number, since it uses less digits than its factorization.

1442130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 937 counting only the distinct ones).

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

The square root of 1442130140 is about 37975.3886089399. The cubic root of 1442130140 is about 1129.7997765695.

Adding to 1442130140 its reverse (410312441), we get a palindrome (1852442581).

The spelling of 1442130140 in words is "one billion, four hundred forty-two million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 211 220 235 422 470 517 661 844 940 1034 1055 1322 2068 2110 2321 2585 2644 3305 4220 4642 5170 6610 7271 9284 9917 10340 11605 13220 14542 19834 23210 29084 31067 36355 39668 46420 49585 62134 72710 99170 109087 124268 139471 145420 155335 198340 218174 278942 310670 341737 436348 545435 557884 621340 683474 697355 1090870 1366948 1394710 1534181 1708685 2181740 2789420 3068362 3417370 6136724 6555137 6834740 7670905 13110274 15341810 26220548 30683620 32775685 65551370 72106507 131102740 144213014 288426028 360532535 721065070 1442130140