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341416520440 = 235431391638761
BaseRepresentation
bin1001111011111100000…
…00101010101011111000
31012122020220102020222121
410331332000222223320
521043210112123230
6420502232531024
733444422353342
oct4757600525370
91178226366877
10341416520440
111218807a8096
1256203850a74
13262704c5338
141274b8c2292
158d3370077a
hex4f7e02aaf8

341416520440 has 128 divisors (see below), whose sum is σ = 796655059200. Its totient is φ = 131603512320.

The previous prime is 341416520429. The next prime is 341416520441. The reversal of 341416520440 is 44025614143.

It is a junction number, because it is equal to n+sod(n) for n = 341416520396 and 341416520405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341416520441) 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, 38965660 + ... + 38974420.

It is an arithmetic number, because the mean of its divisors is an integer number (6223867650).

Almost surely, 2341416520440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341416520440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398327529600).

341416520440 is an abundant number, since it is smaller than the sum of its proper divisors (455238538760).

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

341416520440 is a wasteful number, since it uses less digits than its factorization.

341416520440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 341416520440 in words is "three hundred forty-one billion, four hundred sixteen million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 139 163 172 215 278 326 344 430 556 652 695 815 860 1112 1304 1390 1630 1720 2780 3260 5560 5977 6520 7009 8761 11954 14018 17522 22657 23908 28036 29885 35044 35045 43805 45314 47816 56072 59770 70088 70090 87610 90628 113285 119540 140180 175220 181256 226570 239080 280360 350440 376723 453140 753446 906280 974251 1217779 1428043 1506892 1883615 1948502 2435558 2856086 3013784 3767230 3897004 4871116 4871255 5712172 6088895 7140215 7534460 7794008 9742232 9742510 11424344 12177790 14280430 15068920 19485020 24355580 28560860 38970040 48711160 52364497 57121720 61405849 104728994 122811698 198497977 209457988 245623396 261822485 307029245 396995954 418915976 491246792 523644970 614058490 793991908 992489885 1047289940 1228116980 1587983816 1984979770 2094579880 2456233960 3969959540 7939919080 8535413011 17070826022 34141652044 42677065055 68283304088 85354130110 170708260220 341416520440