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141098112 = 273431439
BaseRepresentation
bin10000110100011…
…11110010000000
3100211111112020000
420122033302000
5242110114422
622000120000
73332212521
oct1032176200
9324445200
10141098112
1172712111
123b306000
132330310c
1414a4c848
15c5c1cac
hex868fc80

141098112 has 160 divisors (see below), whose sum is σ = 434438400. Its totient is φ = 45411840.

The previous prime is 141098107. The next prime is 141098117. The reversal of 141098112 is 211890141.

It is an interprime number because it is at equal distance from previous prime (141098107) and next prime (141098117).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141098117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321189 + ... + 321627.

It is an arithmetic number, because the mean of its divisors is an integer number (2715240).

Almost surely, 2141098112 is an apocalyptic number.

141098112 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 141098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217219200).

141098112 is an abundant number, since it is smaller than the sum of its proper divisors (293340288).

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

141098112 is an equidigital number, since it uses as much as digits as its factorization.

141098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 141098112 is about 11878.4726290883. The cubic root of 141098112 is about 520.6034808250.

The spelling of 141098112 in words is "one hundred forty-one million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 439 496 558 576 648 744 837 864 878 992 1116 1152 1296 1317 1488 1674 1728 1756 1984 2232 2511 2592 2634 2976 3348 3456 3512 3951 3968 4464 5022 5184 5268 5952 6696 7024 7902 8928 10044 10368 10536 11853 11904 13392 13609 14048 15804 17856 20088 21072 23706 26784 27218 28096 31608 35559 35712 40176 40827 42144 47412 53568 54436 56192 63216 71118 80352 81654 84288 94824 107136 108872 122481 126432 142236 160704 163308 168576 189648 217744 244962 252864 284472 321408 326616 367443 379296 435488 489924 505728 568944 653232 734886 758592 870976 979848 1102329 1137888 1306464 1469772 1517184 1741952 1959696 2204658 2275776 2612928 2939544 3919392 4409316 4551552 5225856 5879088 7838784 8818632 11758176 15677568 17637264 23516352 35274528 47032704 70549056 141098112