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141349161792 = 263171937229269
BaseRepresentation
bin1000001110100100010…
…0010000101101000000
3111111211212101101210110
42003221010100231000
54303440341134132
6144533535031320
713132523023416
oct2035104205500
9444755341713
10141349161792
1154a44a0a393
122348966b540
1310438250997
146bac8a92b6
153a243c31cc
hex20e9110b40

141349161792 has 448 divisors, whose sum is σ = 431560224000. Its totient is φ = 40545681408.

The previous prime is 141349161769. The next prime is 141349161797. The reversal of 141349161792 is 297161943141.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (326592) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141349161797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525461434 + ... + 525461702.

Almost surely, 2141349161792 is an apocalyptic number.

141349161792 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 141349161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215780112000).

141349161792 is an abundant number, since it is smaller than the sum of its proper divisors (290211062208).

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

141349161792 is a wasteful number, since it uses less digits than its factorization.

141349161792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The spelling of 141349161792 in words is "one hundred forty-one billion, three hundred forty-nine million, one hundred sixty-one thousand, seven hundred ninety-two".