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141063144 = 233171931587
BaseRepresentation
bin10000110100001…
…11001111101000
3100211102202020220
420122013033220
5242103010034
621555250040
73332005545
oct1032071750
9324382226
10141063144
1172698912
123b2a9920
13232c0221
1414a3dbcc
15c5b6749
hex86873e8

141063144 has 128 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 40504320.

The previous prime is 141063137. The next prime is 141063151. The reversal of 141063144 is 441360141.

It is an interprime number because it is at equal distance from previous prime (141063137) and next prime (141063151).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240019 + ... + 240605.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2141063144 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 141063144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

141063144 is an abundant number, since it is smaller than the sum of its proper divisors (265362456).

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

141063144 is a wasteful number, since it uses less digits than its factorization.

141063144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 141063144 is about 11877.0006314726. Note that the first 3 decimals coincide. The cubic root of 141063144 is about 520.5604706426.

The spelling of 141063144 in words is "one hundred forty-one million, sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 31 34 38 51 57 62 68 76 93 102 114 124 136 152 186 204 228 248 323 372 408 456 527 587 589 646 744 969 1054 1174 1178 1292 1581 1761 1767 1938 2108 2348 2356 2584 3162 3522 3534 3876 4216 4696 4712 6324 7044 7068 7752 9979 10013 11153 12648 14088 14136 18197 19958 20026 22306 29937 30039 33459 36394 39916 40052 44612 54591 59874 60078 66918 72788 79832 80104 89224 109182 119748 120156 133836 145576 189601 218364 239496 240312 267672 309349 345743 379202 436728 568803 618698 691486 758404 928047 1037229 1137606 1237396 1382972 1516808 1856094 2074458 2275212 2474792 2765944 3712188 4148916 4550424 5877631 7424376 8297832 11755262 17632893 23510524 35265786 47021048 70531572 141063144