Search a number
-
+
10145114446004 = 223337775988813
BaseRepresentation
bin1001001110100001011111…
…1100010101100010110100
31022220212022110122220112122
42103220113330111202310
52312204143244233004
633324333511135112
72064650251651016
oct223502774254264
938825273586478
1010145114446004
11326157869313a
12117a236374498
135878ac4aa015
14271051ad01b6
15128d6eb75cbe
hex93a17f158b4

10145114446004 has 12 divisors (see below), whose sum is σ = 17754482435844. Its totient is φ = 5072405178624.

The previous prime is 10145114445979. The next prime is 10145114446057. The reversal of 10145114446004 is 40064441154101.

10145114446004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3479165023504 + 6665949422500 = 1865252^2 + 2581850^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37860899 + ... + 38127914.

It is an arithmetic number, because the mean of its divisors is an integer number (1479540202987).

Almost surely, 210145114446004 is an apocalyptic number.

It is an amenable number.

10145114446004 is a deficient number, since it is larger than the sum of its proper divisors (7609367989840).

10145114446004 is a wasteful number, since it uses less digits than its factorization.

10145114446004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76022194 (or 76022192 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 10145114446004 in words is "ten trillion, one hundred forty-five billion, one hundred fourteen million, four hundred forty-six thousand, four".

Divisors: 1 2 4 33377 66754 133508 75988813 151977626 303955252 2536278611501 5072557223002 10145114446004