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141134340 = 223517179773
BaseRepresentation
bin10000110100110…
…00101000000100
3100211120100220210
420122120220010
5242112244330
622000555420
73332423244
oct1032305004
9324510823
10141134340
1172737356
123b322b70
1323316759
1414a5bb24
15c5cc8b0
hex8698a04

141134340 has 96 divisors (see below), whose sum is σ = 421303680. Its totient is φ = 35178496.

The previous prime is 141134327. The next prime is 141134353. The reversal of 141134340 is 43431141.

It is an interprime number because it is at equal distance from previous prime (141134327) and next prime (141134353).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182194 + ... + 182966.

It is an arithmetic number, because the mean of its divisors is an integer number (4388580).

Almost surely, 2141134340 is an apocalyptic number.

141134340 is a gapful number since it is divisible by the number (10) 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 141134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210651840).

141134340 is an abundant number, since it is smaller than the sum of its proper divisors (280169340).

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

141134340 is a wasteful number, since it uses less digits than its factorization.

141134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 141134340 is about 11879.9974747472. The cubic root of 141134340 is about 520.6480332967.

Adding to 141134340 its reverse (43431141), we get a palindrome (184565481).

The spelling of 141134340 in words is "one hundred forty-one million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 255 340 358 510 537 716 773 895 1020 1074 1546 1790 2148 2319 2685 3043 3092 3580 3865 4638 5370 6086 7730 9129 9276 10740 11595 12172 13141 15215 15460 18258 23190 26282 30430 36516 39423 45645 46380 52564 60860 65705 78846 91290 131410 138367 157692 182580 197115 262820 276734 394230 415101 553468 691835 788460 830202 1383670 1660404 2075505 2352239 2767340 4151010 4704478 7056717 8302020 9408956 11761195 14113434 23522390 28226868 35283585 47044780 70567170 141134340