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10142444440 = 2353713152313
BaseRepresentation
bin10010111001000100…
…10110101110011000
3222011211210120011101
421130202112232120
5131232431210230
64354231441144
7506224232602
oct113442265630
928154716141
1010142444440
114335166697
121b708261b4
13c5837231b
146c3042172
153e5648aca
hex25c896b98

10142444440 has 64 divisors (see below), whose sum is σ = 23616632160. Its totient is φ = 3917122560.

The previous prime is 10142444423. The next prime is 10142444447. The reversal of 10142444440 is 4444424101.

It is a junction number, because it is equal to n+sod(n) for n = 10142444399 and 10142444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142444447) 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, 167724 + ... + 220036.

Almost surely, 210142444440 is an apocalyptic number.

10142444440 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 10142444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808316080).

10142444440 is an abundant number, since it is smaller than the sum of its proper divisors (13474187720).

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

10142444440 is a wasteful number, since it uses less digits than its factorization.

10142444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52492 (or 52488 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10142444440 its reverse (4444424101), we get a palindrome (14586868541).

The spelling of 10142444440 in words is "ten billion, one hundred forty-two million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 131 148 185 262 296 370 524 655 740 1048 1310 1480 2620 4847 5240 9694 19388 24235 38776 48470 52313 96940 104626 193880 209252 261565 418504 523130 1046260 1935581 2092520 3871162 6853003 7742324 9677905 13706006 15484648 19355810 27412012 34265015 38711620 54824024 68530030 77423240 137060060 253561111 274120120 507122222 1014244444 1267805555 2028488888 2535611110 5071222220 10142444440