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1010040140 = 2253110491553
BaseRepresentation
bin111100001100111…
…111110101001100
32121101120100121002
4330030333311030
54032032241030
6244120355432
734013125304
oct7414776514
92541510532
101010040140
1147916111a
12242315b78
131313440b5
1498202604
155da16245
hex3c33fd4c

1010040140 has 48 divisors (see below), whose sum is σ = 2193004800. Its totient is φ = 390359040.

The previous prime is 1010040127. The next prime is 1010040149. The reversal of 1010040140 is 410400101.

It is a super-2 number, since 2×10100401402 = 2040362168822439200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010040149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649604 + ... + 651156.

It is an arithmetic number, because the mean of its divisors is an integer number (45687600).

Almost surely, 21010040140 is an apocalyptic number.

1010040140 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 1010040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096502400).

1010040140 is an abundant number, since it is smaller than the sum of its proper divisors (1182964660).

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

1010040140 is a wasteful number, since it uses less digits than its factorization.

1010040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1010040140 is about 31781.1286772512. The cubic root of 1010040140 is about 1003.3355749028.

Adding to 1010040140 its reverse (410400101), we get a palindrome (1420440241).

The spelling of 1010040140 in words is "one billion, ten million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1049 1553 2098 3106 4196 5245 6212 7765 10490 15530 20980 31060 32519 48143 65038 96286 130076 162595 192572 240715 325190 481430 650380 962860 1629097 3258194 6516388 8145485 16290970 32581940 50502007 101004014 202008028 252510035 505020070 1010040140