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10145220151144 = 2313711373946391
BaseRepresentation
bin1001001110100001111000…
…1111100100011101101000
31022220212120211120021201211
42103220132033210131220
52312204402324314034
633324352204522504
72064653004304201
oct223503617443550
938825524507654
1010145220151144
113261622320a61
12117a265850434
135878c836a540
14271061b685a8
15128d790a5d64
hex93a1e3e4768

10145220151144 has 32 divisors (see below), whose sum is σ = 20774069447040. Its totient is φ = 4616459870400.

The previous prime is 10145220151139. The next prime is 10145220151189. The reversal of 10145220151144 is 44115102254101.

10145220151144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 686965812 + ... + 686980579.

It is an arithmetic number, because the mean of its divisors is an integer number (649189670220).

Almost surely, 210145220151144 is an apocalyptic number.

It is an amenable number.

10145220151144 is an abundant number, since it is smaller than the sum of its proper divisors (10628849295896).

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

10145220151144 is a wasteful number, since it uses less digits than its factorization.

10145220151144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373946481 (or 1373946477 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The spelling of 10145220151144 in words is "ten trillion, one hundred forty-five billion, two hundred twenty million, one hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 3692 7384 1373946391 2747892782 5495785564 10991571128 17861303083 35722606166 71445212332 97550193761 142890424664 195100387522 390200775044 780401550088 1268152518893 2536305037786 5072610075572 10145220151144