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24416341040 = 2457135363281
BaseRepresentation
bin10110101111010100…
…111100110000110000
32100000121122122020102
4112233110330300300
5400001040403130
615114450531532
71523026321520
oct265724746060
970017578212
1024416341040
11a39a42a453
124894b96ba8
1323c163c7a0
141278a55680
1597d831645
hex5af53cc30

24416341040 has 160 divisors (see below), whose sum is σ = 71187693696. Its totient is φ = 7581450240.

The previous prime is 24416341013. The next prime is 24416341049. The reversal of 24416341040 is 4014361442.

It is a junction number, because it is equal to n+sod(n) for n = 24416340994 and 24416341012.

It is not an unprimeable number, because it can be changed into a prime (24416341049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354200 + ... + 417480.

Almost surely, 224416341040 is an apocalyptic number.

24416341040 is a gapful number since it is divisible by the number (20) 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 24416341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35593846848).

24416341040 is an abundant number, since it is smaller than the sum of its proper divisors (46771352656).

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

24416341040 is a wasteful number, since it uses less digits than its factorization.

24416341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63367 (or 63361 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 24416341040 in words is "twenty-four billion, four hundred sixteen million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 53 56 65 70 80 91 104 106 112 130 140 182 208 212 260 265 280 364 371 424 455 520 530 560 689 728 742 848 910 1040 1060 1378 1456 1484 1820 1855 2120 2756 2968 3445 3640 3710 4240 4823 5512 5936 6890 7280 7420 9646 11024 13780 14840 19292 24115 27560 29680 38584 48230 55120 63281 77168 96460 126562 192920 253124 316405 385840 442967 506248 632810 822653 885934 1012496 1265620 1645306 1771868 2214835 2531240 3290612 3353893 3543736 4113265 4429670 5062480 5758571 6581224 6707786 7087472 8226530 8859340 11517142 13162448 13415572 16453060 16769465 17718680 23034284 23477251 26831144 28792855 32906120 33538930 35437360 43600609 46068568 46954502 53662288 57585710 65812240 67077860 87201218 92137136 93909004 115171420 117386255 134155720 174402436 187818008 218003045 230342840 234772510 268311440 305204263 348804872 375636016 436006090 460685680 469545020 610408526 697609744 872012180 939090040 1220817052 1526021315 1744024360 1878180080 2441634104 3052042630 3488048720 4883268208 6104085260 12208170520 24416341040