Search a number
-
+
10142103040 = 2953961759
BaseRepresentation
bin10010111001000010…
…00011011000000000
3222011211011012211221
421130201003120000
5131232334244130
64354220244424
7506221311346
oct113441033000
928154135757
1010142103040
114334a53143
121b706a0714
13c58282b04
146c2d93996
153e55cc87a
hex25c843600

10142103040 has 40 divisors (see below), whose sum is σ = 24317282880. Its totient is φ = 4056840192.

The previous prime is 10142103031. The next prime is 10142103061. The reversal of 10142103040 is 4030124101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1978320 + ... + 1983439.

It is an arithmetic number, because the mean of its divisors is an integer number (607932072).

Almost surely, 210142103040 is an apocalyptic number.

10142103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142103040 is an abundant number, since it is smaller than the sum of its proper divisors (14175179840).

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

10142103040 is an frugal number, since it uses more digits than its factorization.

10142103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961782 (or 3961766 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10142103040 its reverse (4030124101), we get a palindrome (14172227141).

The spelling of 10142103040 in words is "ten billion, one hundred forty-two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3961759 7923518 15847036 19808795 31694072 39617590 63388144 79235180 126776288 158470360 253552576 316940720 507105152 633881440 1014210304 1267762880 2028420608 2535525760 5071051520 10142103040