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3042430013040 = 2435112939739159
BaseRepresentation
bin101100010001011110111…
…101011100111001110000
3101202212001011211021011120
4230101132331130321300
5344321344040404130
610245401213542240
7432544152263025
oct54213675347160
911685034737146
103042430013040
11a73318476560
124117877a4980
13190b91178cb2
14a737c0d754c
155421972e910
hex2c45ef5ce70

3042430013040 has 160 divisors (see below), whose sum is σ = 10643736614400. Its totient is φ = 712125711360.

The previous prime is 3042430013039. The next prime is 3042430013041. The reversal of 3042430013040 is 403100342403.

It is an interprime number because it is at equal distance from previous prime (3042430013039) and next prime (3042430013041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3042430013040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042430013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19793020 + ... + 19946139.

It is an arithmetic number, because the mean of its divisors is an integer number (66523353840).

Almost surely, 23042430013040 is an apocalyptic number.

3042430013040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3042430013040 is an abundant number, since it is smaller than the sum of its proper divisors (7601306601360).

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

3042430013040 is a wasteful number, since it uses less digits than its factorization.

3042430013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39739215 (or 39739209 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3042430013040 its reverse (403100342403), we get a palindrome (3445530355443).

The spelling of 3042430013040 in words is "three trillion, forty-two billion, four hundred thirty million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 39739159 79478318 119217477 158956636 198695795 238434954 317913272 397391590 437130749 476869908 596087385 635826544 794783180 874261498 953739816 1152435611 1192174770 1311392247 1589566360 1748522996 1907479632 2185653745 2304871222 2384349540 2622784494 3179132720 3457306833 3497045992 4371307490 4609742444 4768699080 5245568988 5762178055 6556961235 6914613666 6994091984 8742614980 9219484888 9537398160 10491137976 11524356110 12676791721 13113922470 13829227332 17286534165 17485229960 18438969776 20982275952 23048712220 25353583442 26227844940 27658454664 34573068330 34970459920 38030375163 46097424440 50707166884 52455689880 55316909328 63383958605 69146136660 76060750326 92194848880 101414333768 104911379760 126767917210 138292273320 152121500652 190151875815 202828667536 253535834420 276584546640 304243001304 380303751630 507071668840 608486002608 760607503260 1014143337680 1521215006520 3042430013040