Search a number
-
+
141002344 = 23719891489
BaseRepresentation
bin10000110011110…
…00011001101000
3100211022122212001
420121320121220
5242044033334
621554100344
73331333360
oct1031703150
9324278761
10141002344
117265716a
123b27a6b4
132329b652
1414a259a0
15c5a3714
hex8678668

141002344 has 64 divisors (see below), whose sum is σ = 321840000. Its totient is φ = 56567808.

The previous prime is 141002339. The next prime is 141002357. The reversal of 141002344 is 443200141.

It is a super-2 number, since 2×1410023442 = 39763322026988672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 93952 + ... + 95440.

It is an arithmetic number, because the mean of its divisors is an integer number (5028750).

Almost surely, 2141002344 is an apocalyptic number.

141002344 is a gapful number since it is divisible by the number (14) 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 141002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160920000).

141002344 is an abundant number, since it is smaller than the sum of its proper divisors (180837656).

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

141002344 is a wasteful number, since it uses less digits than its factorization.

141002344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 141002344 is about 11874.4407868329. The cubic root of 141002344 is about 520.4856705117.

Adding to 141002344 its reverse (443200141), we get a palindrome (584202485).

The spelling of 141002344 in words is "one hundred forty-one million, two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 89 133 152 178 266 356 532 623 712 1064 1246 1489 1691 2492 2978 3382 4984 5956 6764 10423 11837 11912 13528 20846 23674 28291 41692 47348 56582 83384 94696 113164 132521 198037 226328 265042 396074 530084 792148 927647 1060168 1584296 1855294 2517899 3710588 5035798 7421176 10071596 17625293 20143192 35250586 70501172 141002344