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144040616155512 = 23329669192069009
BaseRepresentation
bin100000110000000100010001…
…110000100101100101111000
3200220000011000012101201111100
4200300010101300211211320
5122334430140213434022
61230203202350131400
742224406513646566
oct4060042160454570
9626004005351440
10144040616155512
114199431176368a
12141a4052ab0b60
13624ac8312283b
14277d862988a36
15119bc610dd1ac
hex830111c25978

144040616155512 has 48 divisors (see below), whose sum is σ = 390110594094000. Its totient is φ = 48013465856256.

The previous prime is 144040616155439. The next prime is 144040616155517. The reversal of 144040616155512 is 215551616040441.

It is a happy number.

144040616155512 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 0 + 616 + 15 + 5 + 5 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040616155517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68583664 + ... + 70652672.

It is an arithmetic number, because the mean of its divisors is an integer number (8127304043625).

Almost surely, 2144040616155512 is an apocalyptic number.

144040616155512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144040616155512 is an abundant number, since it is smaller than the sum of its proper divisors (246069977938488).

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

144040616155512 is a wasteful number, since it uses less digits than its factorization.

144040616155512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035940 (or 3035933 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 144040616155512 in words is "one hundred forty-four trillion, forty billion, six hundred sixteen million, one hundred fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 966919 1933838 2069009 2900757 3867676 4138018 5801514 6207027 7735352 8276036 8702271 11603028 12414054 16552072 17404542 18621081 23206056 24828108 34809084 37242162 49656216 69618168 74484324 148968648 2000564113271 4001128226542 6001692339813 8002256453084 12003384679626 16004512906168 18005077019439 24006769359252 36010154038878 48013538718504 72020308077756 144040616155512