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141116352 = 2631324349
BaseRepresentation
bin10000110100101…
…00001111000000
3100211112110020120
420122110033000
5242111210402
622000340240
73332316636
oct1032241700
9324473216
10141116352
1172724893
123b314680
132330b500
1414a55356
15c5c73bc
hex86943c0

141116352 has 84 divisors (see below), whose sum is σ = 404393400. Its totient is φ = 43410432.

The previous prime is 141116347. The next prime is 141116399. The reversal of 141116352 is 253611141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30274 + ... + 34622.

Almost surely, 2141116352 is an apocalyptic number.

141116352 is a gapful number since it is divisible by the number (12) 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 141116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202196700).

141116352 is an abundant number, since it is smaller than the sum of its proper divisors (263277048).

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

141116352 is a wasteful number, since it uses less digits than its factorization.

141116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4367 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 141116352 is about 11879.2403797549. The cubic root of 141116352 is about 520.6259129662.

Adding to 141116352 its reverse (253611141), we get a palindrome (394727493).

The spelling of 141116352 in words is "one hundred forty-one million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 4349 5408 8112 8698 10816 13047 16224 17396 26094 32448 34792 52188 56537 69584 104376 113074 139168 169611 208752 226148 278336 339222 417504 452296 678444 734981 835008 904592 1356888 1469962 1809184 2204943 2713776 2939924 3618368 4409886 5427552 5879848 8819772 10855104 11759696 17639544 23519392 35279088 47038784 70558176 141116352