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141117337210248 = 23337297338940559
BaseRepresentation
bin100000000101100001110000…
…110000011000110110001000
3200111122200111212022211202000
4200011201300300120312020
5121444031301311211443
61220044224301111000
741503251111623100
oct4005416060306610
9614580455284660
10141117337210248
1140a67587a2a973
12139b159a858460
136098400307959
1426bc189172200
15114abbc0738d3
hex805870c18d88

141117337210248 has 384 divisors, whose sum is σ = 460839637440000. Its totient is φ = 39890818953216.

The previous prime is 141117337210247. The next prime is 141117337210303. The reversal of 141117337210248 is 842012733711141.

141117337210248 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 173 + 372 + 102 + 4 + 8 = 666.

It is a super-2 number, since 2×1411173372102482 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141117337210247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3479289793 + ... + 3479330351.

It is an arithmetic number, because the mean of its divisors is an integer number (1200103222500).

Almost surely, 2141117337210248 is an apocalyptic number.

141117337210248 is a gapful number since it is divisible by the number (18) 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 141117337210248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230419818720000).

141117337210248 is an abundant number, since it is smaller than the sum of its proper divisors (319722300229752).

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

141117337210248 is a wasteful number, since it uses less digits than its factorization.

141117337210248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44074 (or 44057 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 141117337210248 in words is "one hundred forty-one trillion, one hundred seventeen billion, three hundred thirty-seven million, two hundred ten thousand, two hundred forty-eight".