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141437700 = 223252413833
BaseRepresentation
bin10000110111000…
…10101100000100
3100212010210001100
420123202230010
5242202001300
622011300100
73335125545
oct1033425404
9325123040
10141437700
1172924268
123b44a630
13233c1861
1414ada4cc
15c63c700
hex86e2b04

141437700 has 108 divisors (see below), whose sum is σ = 454259988. Its totient is φ = 36787200.

The previous prime is 141437657. The next prime is 141437713. The reversal of 141437700 is 7734141.

It can be written as a sum of positive squares in 6 ways, for example, as 41757444 + 99680256 = 6462^2 + 9984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34984 + ... + 38816.

It is an arithmetic number, because the mean of its divisors is an integer number (4206111).

Almost surely, 2141437700 is an apocalyptic number.

141437700 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 141437700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227129994).

141437700 is an abundant number, since it is smaller than the sum of its proper divisors (312822288).

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

141437700 is a wasteful number, since it uses less digits than its factorization.

141437700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 141437700 is about 11892.7583007476. The cubic root of 141437700 is about 521.0208004978.

The spelling of 141437700 in words is "one hundred forty-one million, four hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 3833 4100 6150 7380 7666 9225 11499 12300 15332 18450 19165 22998 34497 36900 38330 45996 57495 68994 76660 95825 114990 137988 157153 172485 191650 229980 287475 314306 344970 383300 471459 574950 628612 689940 785765 862425 942918 1149900 1414377 1571530 1724850 1885836 2357295 2828754 3143060 3449700 3928825 4714590 5657508 7071885 7857650 9429180 11786475 14143770 15715300 23572950 28287540 35359425 47145900 70718850 141437700