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144078573296368 = 24172192956549657
BaseRepresentation
bin100000110000100111101000…
…001011100101101011110000
3200220010202222111110021002001
4200300213220023211223300
5122341040404230440433
61230232441031303344
742230222234222044
oct4060475013455360
9626122874407061
10144078573296368
11419a941a561387
12141ab48681ab54
136251721ba29b9
142781623b02024
15119cc3359857d
hex8309e82e5af0

144078573296368 has 120 divisors (see below), whose sum is σ = 322909857111600. Its totient is φ = 62018233933824.

The previous prime is 144078573296363. The next prime is 144078573296381. The reversal of 144078573296368 is 863692375870441.

It is a super-2 number, since 2×1440785732963682 (a number of 29 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 144078573296368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144078573296363) 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, 25727005 + ... + 30822652.

It is an arithmetic number, because the mean of its divisors is an integer number (2690915475930).

It is a 1-persistent number, because it is pandigital, but 2⋅144078573296368 = 288157146592736 is not.

Almost surely, 2144078573296368 is an apocalyptic number.

It is an amenable number.

144078573296368 is an abundant number, since it is smaller than the sum of its proper divisors (178831283815232).

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

144078573296368 is a wasteful number, since it uses less digits than its factorization.

144078573296368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56549747 (or 56549724 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 73.

It can be divided in two parts, 14407857 and 3296368, that added together give a triangular number (17704225 = T5950).

The spelling of 144078573296368 in words is "one hundred forty-four trillion, seventy-eight billion, five hundred seventy-three million, two hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 29 34 38 58 68 76 116 136 152 232 272 289 304 323 464 493 551 578 646 986 1102 1156 1292 1972 2204 2312 2584 3944 4408 4624 5168 5491 7888 8381 8816 9367 10982 16762 18734 21964 33524 37468 43928 67048 74936 87856 134096 149872 159239 318478 636956 1273912 2547824 56549657 113099314 226198628 452397256 904794512 961344169 1074443483 1639940053 1922688338 2148886966 3279880106 3845376676 4297773932 6559760212 7690753352 8595547864 13119520424 15381506704 16342850873 17191095728 18265539211 26239040848 27878980901 31158861007 32685701746 36531078422 55757961802 62317722014 65371403492 73062156844 111515923604 124635444028 130742806984 146124313688 223031847208 249270888056 261485613968 292248627376 310514166587 446063694416 473942675317 498541776112 529700637119 621028333174 947885350634 1059401274238 1242056666348 1895770701268 2118802548476 2484113332696 3791541402536 4237605096952 4968226665392 7583082805072 8475210193904 9004910831023 18009821662046 36019643324092 72039286648184 144078573296368