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141020577744 = 243101184715749
BaseRepresentation
bin1000001101010101111…
…0110011111111010000
3111110222222002121012220
42003111132303333100
54302302231441434
6144441200221040
713121423063424
oct2032536637720
9443888077186
10141020577744
1154896492322
12233b760a780
13103b5155557
146b7adb4b84
153a05619d49
hex20d57b3fd0

141020577744 has 80 divisors (see below), whose sum is σ = 368132688000. Its totient is φ = 46513292800.

The previous prime is 141020577739. The next prime is 141020577757. The reversal of 141020577744 is 447775020141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141020577696 and 141020577705.

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, 8946382 + ... + 8962130.

It is an arithmetic number, because the mean of its divisors is an integer number (4601658600).

Almost surely, 2141020577744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141020577744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184066344000).

141020577744 is an abundant number, since it is smaller than the sum of its proper divisors (227112110256).

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

141020577744 is a wasteful number, since it uses less digits than its factorization.

141020577744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17708 (or 17702 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

Adding to 141020577744 its reverse (447775020141), we get a palindrome (588795597885).

The spelling of 141020577744 in words is "one hundred forty-one billion, twenty million, five hundred seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 1847 2424 3694 4848 5541 7388 11082 14776 15749 22164 29552 31498 44328 47247 62996 88656 94494 125992 186547 188988 251984 373094 377976 559641 746188 755952 1119282 1492376 1590649 2238564 2984752 3181298 4477128 4771947 6362596 8954256 9543894 12725192 19087788 25450384 29088403 38175576 58176806 76351152 87265209 116353612 174530418 232707224 349060836 465414448 698121672 1396243344 2937928703 5875857406 8813786109 11751714812 17627572218 23503429624 35255144436 47006859248 70510288872 141020577744