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10142340235350 = 23521373637135701
BaseRepresentation
bin1001001110010111001010…
…0101100100000001010110
31022220121011010111101221220
42103211302211210001112
52312133003100012400
633323154330151210
72064521434363221
oct223456245440126
938817133441856
1010142340235350
11326038471a664
1211797a1282506
1358755980c35b
14270c6b4a05b8
15128c5b3327a0
hex93972964056

10142340235350 has 96 divisors (see below), whose sum is σ = 25343755458336. Its totient is φ = 2684124288000.

The previous prime is 10142340235331. The next prime is 10142340235399. The reversal of 10142340235350 is 5353204324101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74672500 + ... + 74808200.

It is an arithmetic number, because the mean of its divisors is an integer number (263997452691).

Almost surely, 210142340235350 is an apocalyptic number.

10142340235350 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 10142340235350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671877729168).

10142340235350 is an abundant number, since it is smaller than the sum of its proper divisors (15201415222986).

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

10142340235350 is a wasteful number, since it uses less digits than its factorization.

10142340235350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139490 (or 139485 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 10142340235350 its reverse (5353204324101), we get a palindrome (15495544559451).

The spelling of 10142340235350 in words is "ten trillion, one hundred forty-two billion, three hundred forty million, two hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 137 150 274 411 685 822 1370 2055 3425 3637 4110 6850 7274 10275 10911 18185 20550 21822 36370 54555 90925 109110 135701 181850 271402 272775 407103 498269 545550 678505 814206 996538 1357010 1494807 2035515 2491345 2989614 3392525 4071030 4982690 6785050 7474035 10177575 12456725 14948070 18591037 20355150 24913450 37182074 37370175 55773111 74740350 92955185 111546222 185910370 278865555 464775925 493544537 557731110 929551850 987089074 1394327775 1480633611 2467722685 2788655550 2961267222 4935445370 7403168055 12338613425 14806336110 24677226850 37015840275 67615601569 74031680550 135231203138 202846804707 338078007845 405693609414 676156015690 1014234023535 1690390039225 2028468047070 3380780078450 5071170117675 10142340235350