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141314123000 = 2353421335663
BaseRepresentation
bin1000001110011011111…
…0100110010011111000
3111111202102110020121102
42003212332212103320
54303402403414000
6144530244030532
713131616140461
oct2034676462370
9444672406542
10141314123000
1154a27158206
1223479992448
1310430c0337b
146ba7d87d68
153a212a13d5
hex20e6fa64f8

141314123000 has 64 divisors (see below), whose sum is σ = 331461486720. Its totient is φ = 56391216000.

The previous prime is 141314122981. The next prime is 141314123011. The reversal of 141314123000 is 321413141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253169 + ... + 588831.

It is an arithmetic number, because the mean of its divisors is an integer number (5179085730).

Almost surely, 2141314123000 is an apocalyptic number.

141314123000 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 141314123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165730743360).

141314123000 is an abundant number, since it is smaller than the sum of its proper divisors (190147363720).

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

141314123000 is a wasteful number, since it uses less digits than its factorization.

141314123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336105 (or 336091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 141314123000 its reverse (321413141), we get a palindrome (141635536141).

The spelling of 141314123000 in words is "one hundred forty-one billion, three hundred fourteen million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 421 500 842 1000 1684 2105 3368 4210 8420 10525 16840 21050 42100 52625 84200 105250 210500 335663 421000 671326 1342652 1678315 2685304 3356630 6713260 8391575 13426520 16783150 33566300 41957875 67132600 83915750 141314123 167831500 282628246 335663000 565256492 706570615 1130512984 1413141230 2826282460 3532853075 5652564920 7065706150 14131412300 17664265375 28262824600 35328530750 70657061500 141314123000