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142101344 = 25711101571
BaseRepresentation
bin10000111100001…
…00101101100000
3100220101111101202
420132010231200
5242334220334
622033420332
73343561430
oct1036045540
9326344352
10142101344
1173237930
123b70a6a8
1323594948
1414c302c0
15c71e17e
hex8784b60

142101344 has 96 divisors (see below), whose sum is σ = 352864512. Its totient is φ = 54720000.

The previous prime is 142101343. The next prime is 142101347. The reversal of 142101344 is 443101241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142101343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248579 + ... + 249149.

It is an arithmetic number, because the mean of its divisors is an integer number (3675672).

Almost surely, 2142101344 is an apocalyptic number.

142101344 is a gapful number since it is divisible by the number (14) 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 142101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176432256).

142101344 is an abundant number, since it is smaller than the sum of its proper divisors (210763168).

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

142101344 is a wasteful number, since it uses less digits than its factorization.

142101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

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

The square root of 142101344 is about 11920.6268291563. The cubic root of 142101344 is about 521.8344282896.

Adding to 142101344 its reverse (443101241), we get a palindrome (585202585).

The spelling of 142101344 in words is "one hundred forty-two million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 101 112 154 176 202 224 308 352 404 571 616 707 808 1111 1142 1232 1414 1616 2222 2284 2464 2828 3232 3997 4444 4568 5656 6281 7777 7994 8888 9136 11312 12562 15554 15988 17776 18272 22624 25124 31108 31976 35552 43967 50248 57671 62216 63952 87934 100496 115342 124432 127904 175868 200992 230684 248864 351736 403697 461368 634381 703472 807394 922736 1268762 1406944 1614788 1845472 2537524 3229576 4440667 5075048 6459152 8881334 10150096 12918304 17762668 20300192 35525336 71050672 142101344