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16214424240 = 2435711385411
BaseRepresentation
bin11110001100111010…
…00111101010110000
31112212000022002120010
433012131013222300
5231201343033430
611240535214520
71112544221610
oct170635075260
945760262503
1016214424240
11697068aa13
123186217440
1316b5320a91
14adb62aa40
1564d74dcb0
hex3c6747ab0

16214424240 has 160 divisors (see below), whose sum is σ = 57954433536. Its totient is φ = 3673313280.

The previous prime is 16214424223. The next prime is 16214424251. The reversal of 16214424240 is 4242441261.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16214424198 and 16214424207.

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, 147135 + ... + 232545.

Almost surely, 216214424240 is an apocalyptic number.

16214424240 is a gapful number since it is divisible by the number (10) 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 16214424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28977216768).

16214424240 is an abundant number, since it is smaller than the sum of its proper divisors (41740009296).

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

16214424240 is a wasteful number, since it uses less digits than its factorization.

16214424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85547 (or 85541 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 16214424240 in words is "sixteen billion, two hundred fourteen million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 226 240 280 336 339 420 452 560 565 678 791 840 904 1130 1356 1582 1680 1695 1808 2260 2373 2712 3164 3390 3955 4520 4746 5424 6328 6780 7910 9040 9492 11865 12656 13560 15820 18984 23730 27120 31640 37968 47460 63280 85411 94920 170822 189840 256233 341644 427055 512466 597877 683288 854110 1024932 1195754 1281165 1366576 1708220 1793631 2049864 2391508 2562330 2989385 3416440 3587262 4099728 4783016 5124660 5978770 6832880 7174524 8968155 9566032 9651443 10249320 11957540 14349048 17936310 19302886 20498640 23915080 28698096 28954329 35872620 38605772 47830160 48257215 57908658 67560101 71745240 77211544 96514430 115817316 135120202 143490480 144771645 154423088 193028860 202680303 231634632 270240404 289543290 337800505 386057720 405360606 463269264 540480808 579086580 675601010 772115440 810721212 1013401515 1080961616 1158173160 1351202020 1621442424 2026803030 2316346320 2702404040 3242884848 4053606060 5404808080 8107212120 16214424240