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142342423410 = 235111727919091
BaseRepresentation
bin1000010010010001000…
…1010000001101110010
3111121102002101022120210
42010210101100031302
54313004130022120
6145220300044550
713166243431035
oct2044421201562
9447362338523
10142342423410
1155404650560
1223706233756
1310565c6ba55
146c6478101c
153a816c2ce0
hex2124450372

142342423410 has 128 divisors (see below), whose sum is σ = 394785404928. Its totient is φ = 32462208000.

The previous prime is 142342423409. The next prime is 142342423417. The reversal of 142342423410 is 14324243241.

It is a super-2 number, since 2×1423424234102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (142342423417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15652965 + ... + 15662055.

It is an arithmetic number, because the mean of its divisors is an integer number (3084260976).

Almost surely, 2142342423410 is an apocalyptic number.

142342423410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142342423410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197392702464).

142342423410 is an abundant number, since it is smaller than the sum of its proper divisors (252442981518).

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

142342423410 is a wasteful number, since it uses less digits than its factorization.

142342423410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 142342423410 its reverse (14324243241), we get a palindrome (156666666651).

The spelling of 142342423410 in words is "one hundred forty-two billion, three hundred forty-two million, four hundred twenty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2791 2805 5582 5610 8373 9091 13955 16746 18182 27273 27910 30701 41865 45455 47447 54546 61402 83730 90910 92103 94894 100001 136365 142341 153505 154547 184206 200002 237235 272730 284682 300003 307010 309094 460515 463641 474470 500005 521917 600006 711705 772735 921030 927282 1000010 1043834 1423410 1500015 1545470 1565751 1700017 2318205 2609585 3000030 3131502 3400034 4636410 5100051 5219170 7828755 8500085 10200102 15657510 17000170 25372981 25500255 50745962 51000510 76118943 126864905 152237886 253729810 279102791 380594715 431340677 558205582 761189430 837308373 862681354 1294022031 1395513955 1674616746 2156703385 2588044062 2791027910 4186541865 4313406770 4744747447 6470110155 8373083730 9489494894 12940220310 14234242341 23723737235 28468484682 47447474470 71171211705 142342423410