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141295248 = 243219431201
BaseRepresentation
bin10000110101111…
…11111010010000
3100211212112122100
420122333322100
5242132421443
622004240400
73333663333
oct1032777220
9324775570
10141295248
1172837236
123b3a0100
1323371a73
1414aa061a
15c6103d3
hex86bfe90

141295248 has 120 divisors (see below), whose sum is σ = 426277280. Its totient is φ = 43545600.

The previous prime is 141295201. The next prime is 141295289. The reversal of 141295248 is 842592141.

141295248 is a `hidden beast` number, since 1 + 4 + 129 + 524 + 8 = 666.

141295248 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117048 + ... + 118248.

Almost surely, 2141295248 is an apocalyptic number.

141295248 is a gapful number since it is divisible by the number (18) 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 141295248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213138640).

141295248 is an abundant number, since it is smaller than the sum of its proper divisors (284982032).

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

141295248 is a wasteful number, since it uses less digits than its factorization.

141295248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1268 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 141295248 is about 11886.7677692466. The cubic root of 141295248 is about 520.8458226651.

The spelling of 141295248 in words is "one hundred forty-one million, two hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 43 48 57 72 76 86 114 129 144 152 171 172 228 258 304 342 344 387 456 516 684 688 774 817 912 1032 1201 1368 1548 1634 2064 2402 2451 2736 3096 3268 3603 4804 4902 6192 6536 7206 7353 9608 9804 10809 13072 14412 14706 19216 19608 21618 22819 28824 29412 39216 43236 45638 51643 57648 58824 68457 86472 91276 103286 117648 136914 154929 172944 182552 205371 206572 273828 309858 365104 410742 413144 464787 547656 619716 821484 826288 929574 981217 1095312 1239432 1642968 1859148 1962434 2478864 2943651 3285936 3718296 3924868 5887302 7436592 7849736 8830953 11774604 15699472 17661906 23549208 35323812 47098416 70647624 141295248