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21142291740 = 223517131158227
BaseRepresentation
bin10011101100001011…
…011100010100011100
32000120102221200221020
4103230023130110130
5321244411313430
613413532404140
71345632341343
oct235413342434
960512850836
1021142291740
118a6a2aa789
124120616650
131cbc2452cb
141047cb2b5a
1583b1a7b10
hex4ec2dc51c

21142291740 has 96 divisors (see below), whose sum is σ = 63159554304. Its totient is φ = 5265761280.

The previous prime is 21142291739. The next prime is 21142291759. The reversal of 21142291740 is 4719224112.

It is a congruent number.

It is an unprimeable number.

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, 54507 + ... + 212733.

It is an arithmetic number, because the mean of its divisors is an integer number (657912024).

Almost surely, 221142291740 is an apocalyptic number.

21142291740 is a gapful number since it is divisible by the number (20) 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 21142291740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31579777152).

21142291740 is an abundant number, since it is smaller than the sum of its proper divisors (42017262564).

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

21142291740 is a wasteful number, since it uses less digits than its factorization.

21142291740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158387 (or 158385 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 21142291740 in words is "twenty-one billion, one hundred forty-two million, two hundred ninety-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 131 170 204 255 262 340 393 510 524 655 786 1020 1310 1572 1965 2227 2620 3930 4454 6681 7860 8908 11135 13362 22270 26724 33405 44540 66810 133620 158227 316454 474681 632908 791135 949362 1582270 1898724 2373405 2689859 3164540 4746810 5379718 8069577 9493620 10759436 13449295 16139154 20727737 26898590 32278308 40347885 41455474 53797180 62183211 80695770 82910948 103638685 124366422 161391540 207277370 248732844 310916055 352371529 414554740 621832110 704743058 1057114587 1243664220 1409486116 1761857645 2114229174 3523715290 4228458348 5285572935 7047430580 10571145870 21142291740