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424043440304 = 2411101151239661
BaseRepresentation
bin1100010101110101111…
…01010110100010110000
31111112112022112200120212
412022322331112202300
523421420110042204
6522445230323252
742431122525421
oct6127275264260
91445468480525
10424043440304
11153921515a20
126a223359528
1330caa9370b3
14167494a9648
15b06c61ac6e
hex62baf568b0

424043440304 has 160 divisors (see below), whose sum is σ = 916338493440. Its totient is φ = 188496000000.

The previous prime is 424043440273. The next prime is 424043440343. The reversal of 424043440304 is 403044340424.

It is a super-2 number, since 2×4240434403042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641517734 + ... + 641518394.

It is an arithmetic number, because the mean of its divisors is an integer number (5727115584).

Almost surely, 2424043440304 is an apocalyptic number.

424043440304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424043440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458169246720).

424043440304 is an abundant number, since it is smaller than the sum of its proper divisors (492295053136).

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

424043440304 is a wasteful number, since it uses less digits than its factorization.

424043440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 424043440304 its reverse (403044340424), we get a palindrome (827087780728).

The spelling of 424043440304 in words is "four hundred twenty-four billion, forty-three million, four hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 101 151 176 202 239 302 404 478 604 661 808 956 1111 1208 1322 1616 1661 1912 2222 2416 2629 2644 3322 3824 4444 5258 5288 6644 7271 8888 10516 10576 13288 14542 15251 17776 21032 24139 26576 29084 30502 36089 42064 48278 58168 61004 66761 72178 96556 99811 116336 122008 133522 144356 157979 167761 193112 199622 244016 265529 267044 288712 315958 335522 386224 396979 399244 531058 534088 577424 631916 671044 734371 793958 798488 1062116 1068176 1097921 1263832 1342088 1468742 1587916 1596976 1737769 2124232 2195842 2527664 2684176 2937484 3175832 3475538 3644989 4248464 4391684 5874968 6351664 6951076 7289978 8783368 10080911 11749936 13902152 14579956 15955879 17566736 20161822 23854829 27804304 29159912 31911758 40094879 40323644 47709658 58319824 63823516 80189758 80647288 95419316 110890021 127647032 160379516 161294576 175514669 190838632 221780042 255294064 262403119 320759032 351029338 381677264 443560084 524806238 641518064 702058676 887120168 1049612476 1404117352 1774240336 2099224952 2409337729 2808234704 4198449904 4818675458 9637350916 19274701832 26502715019 38549403664 53005430038 106010860076 212021720152 424043440304