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144678978143334 = 232235938861152419
BaseRepresentation
bin100000111001010110110011…
…000110010100010001100110
3200222021011201202002200012100
4200321112303012110101212
5122430410021401041314
61231412334403032530
742321465644216655
oct4071266306242146
9628234652080170
10144678978143334
1142110012430448
121428790906b746
13629622767aa0b
1427a26dda4d19c
1511ad673c35c09
hex8395b3194466

144678978143334 has 96 divisors (see below), whose sum is σ = 332655113606400. Its totient is φ = 45346208402880.

The previous prime is 144678978143321. The next prime is 144678978143389. The reversal of 144678978143334 is 433341879876441.

144678978143334 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 7 + 89 + 7 + 81 + 433 + 34 = 666.

It is a super-3 number, since 3×1446789781433343 (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949142577 + ... + 949294995.

It is an arithmetic number, because the mean of its divisors is an integer number (3465157433400).

Almost surely, 2144678978143334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144678978143334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166327556803200).

144678978143334 is an abundant number, since it is smaller than the sum of its proper divisors (187976135463066).

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

144678978143334 is a wasteful number, since it uses less digits than its factorization.

144678978143334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191370 (or 191367 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 144678978143334 in words is "one hundred forty-four trillion, six hundred seventy-eight billion, nine hundred seventy-eight million, one hundred forty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 59 69 118 138 177 207 354 414 531 1062 1357 2714 4071 8142 12213 24426 38861 77722 116583 152419 233166 304838 349749 457257 699498 893803 914514 1371771 1787606 2292799 2681409 2743542 3505637 4585598 5362818 6878397 7011274 8044227 8992721 10516911 13756794 16088454 17985442 20635191 21033822 26978163 31550733 41270382 52734377 53956326 63101466 80934489 105468754 158203131 161868978 206832583 316406262 413665166 474609393 620497749 949218786 1240995498 1861493247 3722986494 5923154759 11846309518 17769464277 35538928554 53308392831 106616785662 136232559457 272465118914 349466130781 408697678371 698932261562 817395356742 1048398392343 1226093035113 2096796784686 2452186070226 3145195177029 6290390354058 8037721007963 16075442015926 24113163023889 48226326047778 72339489071667 144678978143334