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414141822 = 23419157857
BaseRepresentation
bin11000101011110…
…100110101111110
31001212021120210000
4120223310311332
51322010014242
6105032255130
713156101363
oct3053646576
91055246700
10414141822
111a2854976
12b68414a6
1367a53443
143d00646a
1526558a4c
hex18af4d7e

414141822 has 80 divisors (see below), whose sum is σ = 984194640. Its totient is φ = 129796992.

The previous prime is 414141817. The next prime is 414141823. The reversal of 414141822 is 228141414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414141823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482818 + ... + 483674.

It is an arithmetic number, because the mean of its divisors is an integer number (12302433).

Almost surely, 2414141822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414141822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492097320).

414141822 is an abundant number, since it is smaller than the sum of its proper divisors (570052818).

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

414141822 is a wasteful number, since it uses less digits than its factorization.

414141822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1038 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 414141822 is about 20350.4747364773. The cubic root of 414141822 is about 745.3890867305.

The spelling of 414141822 in words is "four hundred fourteen million, one hundred forty-one thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 157 162 171 314 342 471 513 857 942 1026 1413 1539 1714 2571 2826 2983 3078 4239 5142 5966 7713 8478 8949 12717 15426 16283 17898 23139 25434 26847 32566 46278 48849 53694 69417 80541 97698 134549 138834 146547 161082 241623 269098 293094 403647 439641 483246 807294 879282 1210941 1318923 2421882 2556431 2637846 3632823 5112862 7265646 7669293 10898469 15338586 21796938 23007879 46015758 69023637 138047274 207070911 414141822