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302013204144 = 2433110114913487
BaseRepresentation
bin1000110010100010110…
…00111100011010110000
31001212112211010101122120
410121101120330122300
514422010340013034
6350424251034240
730551111610231
oct4312130743260
91055484111576
10302013204144
111070a0642383
124a64773b980
1322630c4a072
1410890677088
157cc92cdc49
hex465163c6b0

302013204144 has 160 divisors (see below), whose sum is σ = 818861875200. Its totient is φ = 95804544000.

The previous prime is 302013204083. The next prime is 302013204167. The reversal of 302013204144 is 441402310203.

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

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, 22386169 + ... + 22399655.

It is an arithmetic number, because the mean of its divisors is an integer number (5117886720).

Almost surely, 2302013204144 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 302013204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409430937600).

302013204144 is an abundant number, since it is smaller than the sum of its proper divisors (516848671056).

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

302013204144 is a wasteful number, since it uses less digits than its factorization.

302013204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13779 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 302013204144 its reverse (441402310203), we get a palindrome (743415514347).

The spelling of 302013204144 in words is "three hundred two billion, thirteen million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 101 124 149 186 202 248 298 303 372 404 447 496 596 606 744 808 894 1192 1212 1488 1616 1788 2384 2424 3131 3576 4619 4848 6262 7152 9238 9393 12524 13487 13857 15049 18476 18786 25048 26974 27714 30098 36952 37572 40461 45147 50096 53948 55428 60196 73904 75144 80922 90294 107896 110856 120392 150288 161844 180588 215792 221712 240784 323688 361176 418097 466519 647376 722352 836194 933038 1254291 1362187 1399557 1672388 1866076 2009563 2508582 2724374 2799114 3344776 3732152 4019126 4086561 5017164 5448748 5598228 6028689 6689552 7464304 8038252 8173122 10034328 10897496 11196456 12057378 16076504 16346244 20068656 21794992 22392912 24114756 32153008 32692488 42227797 48229512 62296453 65384976 84455594 96459024 124592906 126683391 168911188 186889359 202965863 249185812 253366782 337822376 373778718 405931726 498371624 506733564 608897589 675644752 747557436 811863452 996743248 1013467128 1217795178 1495114872 1623726904 2026934256 2435590356 2990229744 3247453808 4871180712 6291941753 9742361424 12583883506 18875825259 25167767012 37751650518 50335534024 75503301036 100671068048 151006602072 302013204144