Search a number
-
+
141483110688 = 2532924153161
BaseRepresentation
bin1000001111000100001…
…1001111000100100000
3111112012012102201010200
42003301003033010200
54304224134020223
6144555122025200
713136040412113
oct2036103170440
9445165381120
10141483110688
1155003589157
12235064a8200
1310459c1c99a
146bc25b657a
153a31031a43
hex20f10cf120

141483110688 has 72 divisors (see below), whose sum is σ = 402393704076. Its totient is φ = 47155046400.

The previous prime is 141483110687. The next prime is 141483110719. The reversal of 141483110688 is 886011384141.

It can be written as a sum of positive squares in 2 ways, for example, as 116955792144 + 24527318544 = 341988^2 + 156612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (141483110687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2634828 + ... + 2687988.

Almost surely, 2141483110688 is an apocalyptic number.

141483110688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141483110688 is an abundant number, since it is smaller than the sum of its proper divisors (260910593388).

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

141483110688 is a wasteful number, since it uses less digits than its factorization.

141483110688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62418 (or 62407 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 141483110688 in words is "one hundred forty-one billion, four hundred eighty-three million, one hundred ten thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9241 18482 27723 36964 53161 55446 73928 83169 106322 110892 147856 159483 166338 212644 221784 295712 318966 332676 425288 443568 478449 637932 665352 850576 887136 956898 1275864 1330704 1701152 1913796 2551728 2661408 3827592 5103456 7655184 15310368 491260801 982521602 1473782403 1965043204 2947564806 3930086408 4421347209 5895129612 7860172816 8842694418 11790259224 15720345632 17685388836 23580518448 35370777672 47161036896 70741555344 141483110688