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469314388240 = 2451719910391669
BaseRepresentation
bin1101101010001010101…
…00010100000100010000
31122212101022211010100021
412311011110110010100
530142123440410430
6555333340033224
745623022323365
oct6650524240420
91585338733307
10469314388240
11171042812185
1276b58532814
1335343a13659
1418a01b0846c
15c31bc2a07a
hex6d45514110

469314388240 has 160 divisors (see below), whose sum is σ = 1162961280000. Its totient is φ = 175520784384.

The previous prime is 469314388219. The next prime is 469314388259. The reversal of 469314388240 is 42883413964.

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, 281194126 + ... + 281195794.

It is an arithmetic number, because the mean of its divisors is an integer number (7268508000).

Almost surely, 2469314388240 is an apocalyptic number.

469314388240 is a gapful number since it is divisible by the number (40) 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 469314388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581480640000).

469314388240 is an abundant number, since it is smaller than the sum of its proper divisors (693646891760).

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

469314388240 is a wasteful number, since it uses less digits than its factorization.

469314388240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 469314388240 in words is "four hundred sixty-nine billion, three hundred fourteen million, three hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 199 272 340 398 680 796 995 1039 1360 1592 1669 1990 2078 3184 3338 3383 3980 4156 5195 6676 6766 7960 8312 8345 10390 13352 13532 15920 16624 16690 16915 17663 20780 26704 27064 28373 33380 33830 35326 41560 54128 56746 66760 67660 70652 83120 88315 113492 133520 135320 141304 141865 176630 206761 226984 270640 282608 283730 332131 353260 413522 453968 567460 664262 706520 827044 1033805 1134920 1328524 1413040 1654088 1660655 1734091 2067610 2269840 2657048 3308176 3321310 3468182 3514937 4135220 5314096 5646227 6642620 6936364 7029874 8270440 8670455 11292454 13285240 13872728 14059748 16540880 17340910 17574685 22584908 26570480 27745456 28119496 28231135 29479547 34681820 35149370 45169816 56238992 56462270 58959094 69363640 70298740 90339632 112924540 117918188 138727280 140597480 147397735 225849080 235836376 281194960 294795470 345084109 451698160 471672752 589590940 690168218 1179181880 1380336436 1725420545 2358363760 2760672872 3450841090 5521345744 5866429853 6901682180 11732859706 13803364360 23465719412 27606728720 29332149265 46931438824 58664298530 93862877648 117328597060 234657194120 469314388240