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141553153352 = 231313752119069
BaseRepresentation
bin1000001111010100111…
…0011011010101001000
3111112101002020020121102
42003311032123111020
54304400101401402
6145010103200532
713140550644122
oct2036516332510
9445332206542
10141553153352
115503a079256
1223525a46148
131046b5a4a50
146bcba0a212
153a3726a102
hex20f539b548

141553153352 has 64 divisors (see below), whose sum is σ = 288482569200. Its totient is φ = 64727470080.

The previous prime is 141553153327. The next prime is 141553153381. The reversal of 141553153352 is 253351355141.

It can be written as a sum of positive squares in 8 ways, for example, as 84138284356 + 57414868996 = 290066^2 + 239614^2 .

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, 7413674 + ... + 7432742.

Almost surely, 2141553153352 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 141553153352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144241284600).

141553153352 is an abundant number, since it is smaller than the sum of its proper divisors (146929415848).

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

141553153352 is a wasteful number, since it uses less digits than its factorization.

141553153352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19746 (or 19742 counting only the distinct ones).

The product of its digits is 135000, while the sum is 38.

The spelling of 141553153352 in words is "one hundred forty-one billion, five hundred fifty-three million, one hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 137 274 521 548 1042 1096 1781 2084 3562 4168 6773 7124 13546 14248 19069 27092 38138 54184 71377 76276 142754 152552 247897 285508 495794 571016 927901 991588 1855802 1983176 2612453 3711604 5224906 7423208 9934949 10449812 19869898 20899624 33961889 39739796 67923778 79479592 129154337 135847556 258308674 271695112 516617348 1033234696 1361088013 2722176026 5444352052 10888704104 17694144169 35388288338 70776576676 141553153352