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3042333100144 = 2413293122372959
BaseRepresentation
bin101100010001011001001…
…011110000100001110000
3101202211210102110120200001
4230101121023300201300
5344321144233201034
610245343432435344
7432541564446112
oct54213113604160
911684712416601
103042333100144
11a732787a3458
1241175b248b54
13190b770766a0
14a736d2ab3b2
1554210e89a14
hex2c4592f0870

3042333100144 has 160 divisors (see below), whose sum is σ = 6809164185600. Its totient is φ = 1306099952640.

The previous prime is 3042333100139. The next prime is 3042333100153. The reversal of 3042333100144 is 4410013332403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41662737 + ... + 41735695.

It is an arithmetic number, because the mean of its divisors is an integer number (42557276160).

Almost surely, 23042333100144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042333100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404582092800).

3042333100144 is an abundant number, since it is smaller than the sum of its proper divisors (3766831085456).

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

3042333100144 is a wasteful number, since it uses less digits than its factorization.

3042333100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73263 (or 73257 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3042333100144 its reverse (4410013332403), we get a palindrome (7452346432547).

The spelling of 3042333100144 in words is "three trillion, forty-two billion, three hundred thirty-three million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 31 52 58 62 104 116 124 208 223 232 248 377 403 446 464 496 754 806 892 899 1508 1612 1784 1798 2899 3016 3224 3568 3596 5798 6032 6448 6467 6913 7192 11596 11687 12934 13826 14384 23192 23374 25868 27652 46384 46748 51736 55304 72959 84071 89869 93496 103472 110608 145918 168142 179738 186992 200477 291836 336284 359476 400954 583672 672568 718952 801908 948467 1167344 1345136 1437904 1603816 1896934 2115811 2261729 2606201 3207632 3793868 4231622 4523458 5212402 7587736 8463244 9046916 10424804 15175472 16269857 16926488 18093832 20849608 27505543 29402477 32539714 33852976 36187664 41699216 55011086 58804954 65079428 65590141 110022172 117609908 130158856 131180282 211508141 220044344 235219816 260317712 262360564 423016282 440088688 470439632 471825853 504365567 524721128 846032564 852671833 943651706 1008731134 1049442256 1692065128 1705343666 1887303412 2017462268 3384130256 3410687332 3774606824 4034924536 6133736089 6556752371 6821374664 7549213648 8069849072 12267472178 13113504742 13642749328 14626601443 24534944356 26227009484 29253202886 49069888712 52454018968 58506405772 98139777424 104908037936 117012811544 190145818759 234025623088 380291637518 760583275036 1521166550072 3042333100144