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41742473604440 = 23571493492866873
BaseRepresentation
bin10010111110110111011010…
…10011111010110101011000
312110210112121202102111102012
421133123231103322311120
520432402041220320230
6224440121100525052
711535536260231610
oct1137335523726530
9173715552374365
1041742473604440
111233397a142294
124821b79b50788
131a3a3b569c74b
14a444bcb33a40
154c5c3e287395
hex25f6ed4fad58

41742473604440 has 128 divisors (see below), whose sum is σ = 108367837200000. Its totient is φ = 14174916046848.

The previous prime is 41742473604439. The next prime is 41742473604467. The reversal of 41742473604440 is 4440637424714.

It is a congruent number.

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, 13126844 + ... + 15993716.

It is an arithmetic number, because the mean of its divisors is an integer number (846623728125).

Almost surely, 241742473604440 is an apocalyptic number.

41742473604440 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 41742473604440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54183918600000).

41742473604440 is an abundant number, since it is smaller than the sum of its proper divisors (66625363595560).

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

41742473604440 is a wasteful number, since it uses less digits than its factorization.

41742473604440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867389 (or 2867385 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 50.

The spelling of 41742473604440 in words is "forty-one trillion, seven hundred forty-two billion, four hundred seventy-three million, six hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 280 298 349 596 698 745 1043 1192 1396 1490 1745 2086 2443 2792 2980 3490 4172 4886 5215 5960 6980 8344 9772 10430 12215 13960 19544 20860 24430 41720 48860 52001 97720 104002 208004 260005 364007 416008 520010 728014 1040020 1456028 1820035 2080040 2866873 2912056 3640070 5733746 7280140 11467492 14334365 14560280 20068111 22934984 28668730 40136222 57337460 80272444 100340555 114674920 160544888 200681110 401362220 427164077 802724440 854328154 1000538677 1708656308 2001077354 2135820385 2990148539 3417312616 4002154708 4271640770 5002693385 5980297078 7003770739 8004309416 8543281540 10005386770 11960594156 14007541478 14950742695 17086563080 20010773540 23921188312 28015082956 29901485390 35018853695 40021547080 56030165912 59802970780 70037707390 119605941560 140075414780 149080262873 280150829560 298160525746 596321051492 745401314365 1043561840111 1192642102984 1490802628730 2087123680222 2981605257460 4174247360444 5217809200555 5963210514920 8348494720888 10435618401110 20871236802220 41742473604440