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144510010025652 = 223229247355972321
BaseRepresentation
bin100000110110111001011011…
…110100000110011010110100
3200221200000121001202221111200
4200312321123310012122310
5122420123000031310102
61231202552045532500
742303334523011035
oct4066713364063264
9627600531687450
10144510010025652
1142055395322787
121425b011b74130
13628330a4447ab
142798471062a8c
1511a9084cb851c
hex836e5bd066b4

144510010025652 has 72 divisors (see below), whose sum is σ = 378038182234440. Its totient is φ = 46490161213440.

The previous prime is 144510010025603. The next prime is 144510010025653. The reversal of 144510010025652 is 256520010015441.

144510010025652 is a `hidden beast` number, since 1 + 4 + 451 + 0 + 0 + 100 + 2 + 56 + 52 = 666.

144510010025652 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 18643016875536 + 125866993150116 = 4317756^2 + 11219046^2 .

It is a super-2 number, since 2×1445100100256522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144510010025653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25404349 + ... + 30567972.

Almost surely, 2144510010025652 is an apocalyptic number.

144510010025652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144510010025652 is an abundant number, since it is smaller than the sum of its proper divisors (233528172208788).

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

144510010025652 is a wasteful number, since it uses less digits than its factorization.

144510010025652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55974833 (or 55974828 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 144510010025652 in words is "one hundred forty-four trillion, five hundred ten billion, ten million, twenty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2473 4946 7419 9892 14838 22257 29676 44514 71717 89028 143434 215151 286868 430302 645453 860604 1290906 2581812 55972321 111944642 167916963 223889284 335833926 503750889 671667852 1007501778 1623197309 2015003556 3246394618 4869591927 6492789236 9739183854 14608775781 19478367708 29217551562 58435103124 138419549833 276839099666 415258649499 553678199332 830517298998 1245775948497 1661034597996 2491551896994 4014166945157 4983103793988 8028333890314 12042500835471 16056667780628 24085001670942 36127502506413 48170003341884 72255005012826 144510010025652