Search a number
-
+
141102554240 = 2752237731279
BaseRepresentation
bin1000001101101001011…
…1100001110010000000
3111111012200100102211102
42003122113201302000
54302434223213430
6144453245233532
713123436631104
oct2033227416200
9444180312742
10141102554240
115492879349a
122341ab628a8
13103c912845b
146b87c33904
153a0c90e345
hex20da5e1c80

141102554240 has 128 divisors (see below), whose sum is σ = 339539558400. Its totient is φ = 56071360512.

The previous prime is 141102554227. The next prime is 141102554297. The reversal of 141102554240 is 42455201141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 110321921 + ... + 110323199.

It is an arithmetic number, because the mean of its divisors is an integer number (2652652800).

Almost surely, 2141102554240 is an apocalyptic number.

141102554240 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 141102554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169769779200).

141102554240 is an abundant number, since it is smaller than the sum of its proper divisors (198437004160).

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

141102554240 is a wasteful number, since it uses less digits than its factorization.

141102554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 141102554240 its reverse (42455201141), we get a palindrome (183557755381).

The spelling of 141102554240 in words is "one hundred forty-one billion, one hundred two million, five hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 320 446 640 773 892 1115 1279 1546 1784 2230 2558 3092 3568 3865 4460 5116 6184 6395 7136 7730 8920 10232 12368 12790 14272 15460 17840 20464 24736 25580 28544 30920 35680 40928 49472 51160 61840 71360 81856 98944 102320 123680 142720 163712 172379 204640 247360 285217 344758 409280 494720 570434 689516 818560 861895 988667 1140868 1379032 1426085 1723790 1977334 2281736 2758064 2852170 3447580 3954668 4563472 4943335 5516128 5704340 6895160 7909336 9126944 9886670 11032256 11408680 13790320 15818672 18253888 19773340 22064512 22817360 27580640 31637344 36507776 39546680 45634720 55161280 63274688 79093360 91269440 110322560 126549376 158186720 182538880 220472741 316373440 440945482 632746880 881890964 1102363705 1763781928 2204727410 3527563856 4409454820 7055127712 8818909640 14110255424 17637819280 28220510848 35275638560 70551277120 141102554240