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141074648 = 231113127971
BaseRepresentation
bin10000110100010…
…10000011011000
3100211110100000222
420122022003120
5242103342043
621555415212
73332054231
oct1032120330
9324410028
10141074648
11726a6520
123b2b4508
13232c5530
1414a44088
15c5b9d68
hex868a0d8

141074648 has 64 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 58665600.

The previous prime is 141074627. The next prime is 141074669. The reversal of 141074648 is 846470141.

It is an interprime number because it is at equal distance from previous prime (141074627) and next prime (141074669).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 144803 + ... + 145773.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2141074648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141074648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

141074648 is an abundant number, since it is smaller than the sum of its proper divisors (172453672).

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

141074648 is a wasteful number, since it uses less digits than its factorization.

141074648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 141074648 is about 11877.4849189549. The cubic root of 141074648 is about 520.5746211965.

The spelling of 141074648 in words is "one hundred forty-one million, seventy-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 127 143 254 286 508 572 971 1016 1144 1397 1651 1942 2794 3302 3884 5588 6604 7768 10681 11176 12623 13208 18161 21362 25246 36322 42724 50492 72644 85448 100984 123317 138853 145288 246634 277706 493268 555412 986536 1110824 1356487 1603121 2712974 3206242 5425948 6412484 10851896 12824968 17634331 35268662 70537324 141074648