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141374310 = 23573111249
BaseRepresentation
bin10000110110100…
…11001101100110
3100212000120002120
420123103031212
5242142434220
622010050410
73334443000
oct1033231546
9325016076
10141374310
1172890680
123b419a06
132339ba4c
1414ac1370
15c628a40
hex86d3366

141374310 has 128 divisors (see below), whose sum is σ = 432000000. Its totient is φ = 29352960.

The previous prime is 141374281. The next prime is 141374323. The reversal of 141374310 is 13473141.

141374310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413743102 = 39973391055952200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112566 + ... + 113814.

It is an arithmetic number, because the mean of its divisors is an integer number (3375000).

Almost surely, 2141374310 is an apocalyptic number.

141374310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141374310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000000).

141374310 is an abundant number, since it is smaller than the sum of its proper divisors (290625690).

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

141374310 is a wasteful number, since it uses less digits than its factorization.

141374310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 141374310 is about 11890.0929348765. The cubic root of 141374310 is about 520.9429512777.

The spelling of 141374310 in words is "one hundred forty-one million, three hundred seventy-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 343 385 462 490 539 686 735 770 1029 1078 1155 1249 1470 1617 1715 2058 2310 2498 2695 3234 3430 3747 3773 5145 5390 6245 7494 7546 8085 8743 10290 11319 12490 13739 16170 17486 18735 18865 22638 26229 27478 37470 37730 41217 43715 52458 56595 61201 68695 82434 87430 96173 113190 122402 131145 137390 183603 192346 206085 262290 288519 306005 367206 412170 428407 480865 577038 612010 673211 856814 918015 961730 1285221 1346422 1442595 1836030 2019633 2142035 2570442 2885190 3366055 4039266 4284070 4712477 6426105 6732110 9424954 10098165 12852210 14137431 20196330 23562385 28274862 47124770 70687155 141374310