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144151090320 = 2435600629543
BaseRepresentation
bin1000011001000000010…
…0110001010010010000
3111210002010201010011010
42012100010301102100
54330210134342240
6150115550050520
713262125023306
oct2062004612220
9453063633133
10144151090320
11561525947a6
1223b2baa9a40
13107938a4963
146d96a72276
153b3a38e280
hex2190131490

144151090320 has 40 divisors (see below), whose sum is σ = 446868380736. Its totient is φ = 38440290688.

The previous prime is 144151090309. The next prime is 144151090357. The reversal of 144151090320 is 23090151441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300314532 + ... + 300315011.

Almost surely, 2144151090320 is an apocalyptic number.

144151090320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144151090320 is an abundant number, since it is smaller than the sum of its proper divisors (302717290416).

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

144151090320 is a wasteful number, since it uses less digits than its factorization.

144151090320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600629559 (or 600629553 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 144151090320 in words is "one hundred forty-four billion, one hundred fifty-one million, ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 600629543 1201259086 1801888629 2402518172 3003147715 3603777258 4805036344 6006295430 7207554516 9009443145 9610072688 12012590860 14415109032 18018886290 24025181720 28830218064 36037772580 48050363440 72075545160 144151090320