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141031412160 = 26351217120713
BaseRepresentation
bin1000001101011000100…
…0001001000111000000
3111111000201111001020120
42003112020021013000
54302313020142120
6144442224340240
713121614136562
oct2032610110700
9444021431216
10141031412160
11548a1612391
12233bb174680
13103b7479b52
146b7c5d5332
153a0655a140
hex20d62091c0

141031412160 has 112 divisors (see below), whose sum is σ = 448146379296. Its totient is φ = 37577162752.

The previous prime is 141031412153. The next prime is 141031412161. The reversal of 141031412160 is 61214130141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141031412160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141031412161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107964 + ... + 1228676.

It is an arithmetic number, because the mean of its divisors is an integer number (4001306958).

Almost surely, 2141031412160 is an apocalyptic number.

141031412160 is a gapful number since it is divisible by the number (10) 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 141031412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224073189648).

141031412160 is an abundant number, since it is smaller than the sum of its proper divisors (307114967136).

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

141031412160 is a wasteful number, since it uses less digits than its factorization.

141031412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121950 (or 121940 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 141031412160 in words is "one hundred forty-one billion, thirty-one million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1217 2434 3651 4868 6085 7302 9736 12170 14604 18255 19472 24340 29208 36510 38944 48680 58416 73020 77888 97360 116832 120713 146040 194720 233664 241426 292080 362139 389440 482852 584160 603565 724278 965704 1168320 1207130 1448556 1810695 1931408 2414260 2897112 3621390 3862816 4828520 5794224 7242780 7725632 9657040 11588448 14485560 19314080 23176896 28971120 38628160 57942240 115884480 146907721 293815442 440723163 587630884 734538605 881446326 1175261768 1469077210 1762892652 2203615815 2350523536 2938154420 3525785304 4407231630 4701047072 5876308840 7051570608 8814463260 9402094144 11752617680 14103141216 17628926520 23505235360 28206282432 35257853040 47010470720 70515706080 141031412160