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141931793850 = 2352711177110181
BaseRepresentation
bin1000010000101111001…
…0110100110110111010
3111120100110201011201120
42010023302310312322
54311134014400400
6145111430530110
713153126225230
oct2041362646672
9446313634646
10141931793850
1155213885490
1223610806936
13104cbb78192
146c26010950
153a5a60eca0
hex210bcb4dba

141931793850 has 384 divisors, whose sum is σ = 471250980864. Its totient is φ = 27363840000.

The previous prime is 141931793837. The next prime is 141931793917. The reversal of 141931793850 is 58397139141.

141931793850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141931793793 and 141931793802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13935760 + ... + 13945940.

It is an arithmetic number, because the mean of its divisors is an integer number (1227216096).

Almost surely, 2141931793850 is an apocalyptic number.

141931793850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141931793850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235625490432).

141931793850 is an abundant number, since it is smaller than the sum of its proper divisors (329319187014).

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

141931793850 is a wasteful number, since it uses less digits than its factorization.

141931793850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 141931793850 in words is "one hundred forty-one billion, nine hundred thirty-one million, seven hundred ninety-three thousand, eight hundred fifty".