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141781330897920 = 21032574310222099
BaseRepresentation
bin100000001111001100001001…
…110111010010110000000000
3200121000011101201121001112200
4200033030021313102300000
5122040421131202213140
61221313235542153200
741602235360062110
oct4017141167226000
9617004351531480
10141781330897920
11411a314107314a
1213a9a208a22800
136115bcac1382c
142702378459040
15115d0d006e030
hex80f309dd2c00

141781330897920 has 528 divisors, whose sum is σ = 574506880147200. Its totient is φ = 31653503336448.

The previous prime is 141781330897919. The next prime is 141781330898041. The reversal of 141781330897920 is 29798033187141.

141781330897920 is a `hidden beast` number, since 1 + 417 + 8 + 13 + 30 + 8 + 97 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8759031 + ... + 18981129.

It is an arithmetic number, because the mean of its divisors is an integer number (1088081212400).

Almost surely, 2141781330897920 is an apocalyptic number.

141781330897920 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 141781330897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287253440073600).

141781330897920 is an abundant number, since it is smaller than the sum of its proper divisors (432725549249280).

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

141781330897920 is a wasteful number, since it uses less digits than its factorization.

141781330897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10222180 (or 10222159 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 141781330897920 in words is "one hundred forty-one trillion, seven hundred eighty-one billion, three hundred thirty million, eight hundred ninety-seven thousand, nine hundred twenty".