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42289173440 = 2652910742589
BaseRepresentation
bin100111011000101000…
…011001001111000000
311001011012112121002222
4213120220121033000
51143102012022230
631232151430212
73024652020563
oct473050311700
9131135477088
1042289173440
1116a31154a18
128242685368
133cac406867
14209261c4da
15117796a6e5
hex9d8a193c0

42289173440 has 112 divisors (see below), whose sum is σ = 105149599200. Its totient is φ = 16179351552.

The previous prime is 42289173419. The next prime is 42289173457. The reversal of 42289173440 is 4437198224.

It is a junction number, because it is equal to n+sod(n) for n = 42289173391 and 42289173400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971666 + ... + 1014254.

Almost surely, 242289173440 is an apocalyptic number.

42289173440 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 42289173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52574799600).

42289173440 is an abundant number, since it is smaller than the sum of its proper divisors (62860425760).

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

42289173440 is a wasteful number, since it uses less digits than its factorization.

42289173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42742 (or 42732 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 42289173440 in words is "forty-two billion, two hundred eighty-nine million, one hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 107 116 145 160 214 232 290 320 428 464 535 580 856 928 1070 1160 1712 1856 2140 2320 3103 3424 4280 4640 6206 6848 8560 9280 12412 15515 17120 24824 31030 34240 42589 49648 62060 85178 99296 124120 170356 198592 212945 248240 340712 425890 496480 681424 851780 992960 1235081 1362848 1703560 2470162 2725696 3407120 4557023 4940324 6175405 6814240 9114046 9880648 12350810 13628480 18228092 19761296 22785115 24701620 36456184 39522592 45570230 49403240 72912368 79045184 91140460 98806480 132153667 145824736 182280920 197612960 264307334 291649472 364561840 395225920 528614668 660768335 729123680 1057229336 1321536670 1458247360 2114458672 2643073340 4228917344 5286146680 8457834688 10572293360 21144586720 42289173440