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144298701460 = 22542117137613
BaseRepresentation
bin1000011001100011011…
…1110111001010010100
3111210110102110112120101
42012120313313022110
54331010431421320
6150142341543444
713265566503424
oct2063067671224
9453412415511
10144298701460
1156218945181
1223b71414b84
13107b8348424
146dac4d8484
153b482eac0a
hex2198df7294

144298701460 has 24 divisors (see below), whose sum is σ = 303747070536. Its totient is φ = 57582376320.

The previous prime is 144298701427. The next prime is 144298701461. The reversal of 144298701460 is 64107892441.

144298701460 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 4 ways, for example, as 140280336 + 144158421124 = 11844^2 + 379682^2 .

It is a super-2 number, since 2×1442987014602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144298701460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144298701461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8560387 + ... + 8577226.

It is an arithmetic number, because the mean of its divisors is an integer number (12656127939).

Almost surely, 2144298701460 is an apocalyptic number.

144298701460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144298701460 is an abundant number, since it is smaller than the sum of its proper divisors (159448369076).

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

144298701460 is a wasteful number, since it uses less digits than its factorization.

144298701460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17138043 (or 17138041 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 144298701460 in words is "one hundred forty-four billion, two hundred ninety-eight million, seven hundred one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 8420 17137613 34275226 68550452 85688065 171376130 342752260 7214935073 14429870146 28859740292 36074675365 72149350730 144298701460