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2021140123040 = 25561661313289
BaseRepresentation
bin11101011010010101010…
…101101100110110100000
321011012220201201101000002
4131122111111230312200
5231103243332414130
64144255435115132
7266010510404603
oct35322525546640
97135821641002
102021140123040
1170a1849aa155
122878638a2aa8
131187921ca50c
146db7635a33a
1537893da7b45
hex1d69556cda0

2021140123040 has 96 divisors (see below), whose sum is σ = 4860579059280. Its totient is φ = 793997107200.

The previous prime is 2021140123039. The next prime is 2021140123099. The reversal of 2021140123040 is 403210411202.

It can be written as a sum of positive squares in 8 ways, for example, as 514737372304 + 1506402750736 = 717452^2 + 1227356^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6294716 + ... + 6608004.

Almost surely, 22021140123040 is an apocalyptic number.

2021140123040 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 2021140123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430289529640).

2021140123040 is an abundant number, since it is smaller than the sum of its proper divisors (2839438936240).

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

2021140123040 is a wasteful number, since it uses less digits than its factorization.

2021140123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314026 (or 314018 counting only the distinct ones).

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

Adding to 2021140123040 its reverse (403210411202), we get a palindrome (2424350534242).

The spelling of 2021140123040 in words is "two trillion, twenty-one billion, one hundred forty million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 661 976 1220 1322 1952 2440 2644 3305 4880 5288 6610 9760 10576 13220 21152 26440 40321 52880 80642 105760 161284 201605 313289 322568 403210 626578 645136 806420 1253156 1290272 1566445 1612840 2506312 3132890 3225680 5012624 6265780 6451360 10025248 12531560 19110629 25063120 38221258 50126240 76442516 95553145 152885032 191106290 207084029 305770064 382212580 414168058 611540128 764425160 828336116 1035420145 1528850320 1656672232 2070840290 3057700640 3313344464 4141680580 6626688928 8283361160 12632125769 16566722320 25264251538 33133444640 50528503076 63160628845 101057006152 126321257690 202114012304 252642515380 404228024608 505285030760 1010570061520 2021140123040