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142704541400 = 23527914960617
BaseRepresentation
bin1000010011100111011…
…0100111111011011000
3111122100022202211002012
42010321312213323120
54314224330311100
6145320233325052
713211231405441
oct2047166477330
9448308684065
10142704541400
115557aaa2123
12237a7566788
13105c2ca8855
146c9a8c42c8
153aa33a2135
hex2139da7ed8

142704541400 has 96 divisors (see below), whose sum is σ = 338248440000. Its totient is φ = 55980088320.

The previous prime is 142704541391. The next prime is 142704541429. The reversal of 142704541400 is 4145407241.

It is a super-2 number, since 2×1427045414002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2323892 + ... + 2384508.

It is an arithmetic number, because the mean of its divisors is an integer number (3523421250).

Almost surely, 2142704541400 is an apocalyptic number.

142704541400 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 142704541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169124220000).

142704541400 is an abundant number, since it is smaller than the sum of its proper divisors (195543898600).

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

142704541400 is a wasteful number, since it uses less digits than its factorization.

142704541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60861 (or 60852 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

Adding to 142704541400 its reverse (4145407241), we get a palindrome (146849948641).

The spelling of 142704541400 in words is "one hundred forty-two billion, seven hundred four million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 149 158 200 298 316 395 596 632 745 790 1192 1490 1580 1975 2980 3160 3725 3950 5960 7450 7900 11771 14900 15800 23542 29800 47084 58855 60617 94168 117710 121234 235420 242468 294275 303085 470840 484936 588550 606170 1177100 1212340 1515425 2354200 2424680 3030850 4788743 6061700 9031933 9577486 12123400 18063866 19154972 23943715 36127732 38309944 45159665 47887430 72255464 90319330 95774860 119718575 180638660 191549720 225798325 239437150 361277320 451596650 478874300 713522707 903193300 957748600 1427045414 1806386600 2854090828 3567613535 5708181656 7135227070 14270454140 17838067675 28540908280 35676135350 71352270700 142704541400