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141204334024 = 231337211117383
BaseRepresentation
bin1000001110000001101…
…1110010010111001000
3111111110202212101110001
42003200123302113020
54303141302142044
6144511322532344
713126114015135
oct2034033622710
9444422771401
10141204334024
1154980190116
12234490670b4
1310414243090
146b9756958c
153a168162d4
hex20e06f25c8

141204334024 has 64 divisors (see below), whose sum is σ = 292985763840. Its totient is φ = 63376162560.

The previous prime is 141204334009. The next prime is 141204334069. The reversal of 141204334024 is 420433402141.

It is a super-2 number, since 2×1412043340242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141204333983 and 141204334001.

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, 8114437 + ... + 8131819.

It is an arithmetic number, because the mean of its divisors is an integer number (4577902560).

Almost surely, 2141204334024 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 141204334024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146492881920).

141204334024 is an abundant number, since it is smaller than the sum of its proper divisors (151781429816).

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

141204334024 is a wasteful number, since it uses less digits than its factorization.

141204334024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19550 (or 19546 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 141204334024 its reverse (420433402141), we get a palindrome (561637736165).

The spelling of 141204334024 in words is "one hundred forty-one billion, two hundred four million, three hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 2111 3848 4222 8444 16888 17383 27443 34766 54886 69532 78107 109772 139064 156214 219544 225979 312428 451958 624856 643171 903916 1015391 1286342 1807832 2030782 2572684 4061564 5145368 8123128 8361223 16722446 33444892 36695513 66889784 73391026 146782052 293564104 477041669 954083338 1357733981 1908166676 2715467962 3816333352 5430935924 10861871848 17650541753 35301083506 70602167012 141204334024