Search a number
-
+
10142333340 = 2235533189413
BaseRepresentation
bin10010111001000011…
…11011100110011100
3222011211120220202120
421130201323212130
5131232414131330
64354225222540
7506223260646
oct113441734634
928154526676
1010142333340
1143350a0177
121b70791a50
13c58333899
146c3013896
153e5625c10
hex25c87b99c

10142333340 has 48 divisors (see below), whose sum is σ = 28934363808. Its totient is φ = 2653590784.

The previous prime is 10142333317. The next prime is 10142333347. The reversal of 10142333340 is 4333324101.

It is a self number, because there is not a number n which added to its sum of digits gives 10142333340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142333347) 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, 1591527 + ... + 1597886.

It is an arithmetic number, because the mean of its divisors is an integer number (602799246).

Almost surely, 210142333340 is an apocalyptic number.

10142333340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142333340 is an abundant number, since it is smaller than the sum of its proper divisors (18792030468).

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

10142333340 is a wasteful number, since it uses less digits than its factorization.

10142333340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189478 (or 3189476 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10142333340 its reverse (4333324101), we get a palindrome (14475657441).

The spelling of 10142333340 in words is "ten billion, one hundred forty-two million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3189413 6378826 9568239 12757652 15947065 19136478 31894130 38272956 47841195 63788260 95682390 169038889 191364780 338077778 507116667 676155556 845194445 1014233334 1690388890 2028466668 2535583335 3380777780 5071166670 10142333340