Search a number
-
+
10062140000 = 25541145737
BaseRepresentation
bin10010101111100000…
…00001001001100000
3221222020200200011212
421113300001021200
5131101401440000
64342242325252
7504230531063
oct112760011140
927866620155
1010062140000
1142a38a7790
121b49959828
13c448364c3
146b64da8da
153dd584c35
hex257c01260

10062140000 has 120 divisors (see below), whose sum is σ = 27005361768. Its totient is φ = 3658880000.

The previous prime is 10062139993. The next prime is 10062140003. The reversal of 10062140000 is 4126001.

It is a super-2 number, since 2×100621400002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10062140003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 197132 + ... + 242868.

Almost surely, 210062140000 is an apocalyptic number.

10062140000 is a gapful number since it is divisible by the number (10) 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 10062140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502680884).

10062140000 is an abundant number, since it is smaller than the sum of its proper divisors (16943221768).

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

10062140000 is an equidigital number, since it uses as much as digits as its factorization.

10062140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45778 (or 45755 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10062140000 its reverse (4126001), we get a palindrome (10066266001).

The spelling of 10062140000 in words is "ten billion, sixty-two million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 45737 55000 91474 110000 182948 220000 228685 365896 457370 503107 731792 914740 1006214 1143425 1463584 1829480 2012428 2286850 2515535 3658960 4024856 4573700 5031070 5717125 7317920 8049712 9147400 10062140 11434250 12577675 16099424 18294800 20124280 22868500 25155350 28585625 36589600 40248560 45737000 50310700 57171250 62888375 80497120 91474000 100621400 114342500 125776750 182948000 201242800 228685000 251553500 314441875 402485600 457370000 503107000 628883750 914740000 1006214000 1257767500 2012428000 2515535000 5031070000 10062140000