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141981245952 = 2937213312151
BaseRepresentation
bin1000010000111010111…
…1011110001000000000
3111120110220202121020220
42010032233132020000
54311234144332302
6145120354503040
713154266451400
oct2041657361000
9446426677226
10141981245952
1155239791597
1223625294a80
13105091a1090
146c2c804800
153a5eb2c4bc
hex210ebde200

141981245952 has 720 divisors, whose sum is σ = 492868829376. Its totient is φ = 35997696000.

The previous prime is 141981245951. The next prime is 141981245953. The reversal of 141981245952 is 259542189141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141981245951) and next prime (141981245953).

It is a junction number, because it is equal to n+sod(n) for n = 141981245895 and 141981245904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141981245951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940273077 + ... + 940273227.

Almost surely, 2141981245952 is an apocalyptic number.

141981245952 is a gapful number since it is divisible by the number (12) 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 141981245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246434414688).

141981245952 is an abundant number, since it is smaller than the sum of its proper divisors (350887583424).

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

141981245952 is a wasteful number, since it uses less digits than its factorization.

141981245952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 207 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The spelling of 141981245952 in words is "one hundred forty-one billion, nine hundred eighty-one million, two hundred forty-five thousand, nine hundred fifty-two".