Search a number
-
+
10142344221040 = 245268913471451
BaseRepresentation
bin1001001110010111001011…
…0100110001000101110000
31022220121011101222220022001
42103211302310301011300
52312133010110033130
633323154551423344
72064521513303263
oct223456264610560
938817141886261
1010142344221040
1132603869a2119
1211797a2684b54
1358755a5a6555
14270c6bc1acda
15128c5b86d6ca
hex93972d31170

10142344221040 has 40 divisors (see below), whose sum is σ = 23581088021808. Its totient is φ = 4056913996800.

The previous prime is 10142344221017. The next prime is 10142344221103. The reversal of 10142344221040 is 4012244324101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21277315 + ... + 21748765.

Almost surely, 210142344221040 is an apocalyptic number.

10142344221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142344221040 is an abundant number, since it is smaller than the sum of its proper divisors (13438743800768).

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

10142344221040 is a wasteful number, since it uses less digits than its factorization.

10142344221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740377 (or 740371 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10142344221040 its reverse (4012244324101), we get a palindrome (14154588545141).

The spelling of 10142344221040 in words is "ten trillion, one hundred forty-two billion, three hundred forty-four million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 268913 471451 537826 942902 1075652 1344565 1885804 2151304 2357255 2689130 3771608 4302608 4714510 5378260 7543216 9429020 10756520 18858040 21513040 37716080 126779302763 253558605526 507117211052 633896513815 1014234422104 1267793027630 2028468844208 2535586055260 5071172110520 10142344221040