Search a number
-
+
142755686400 = 211352929399
BaseRepresentation
bin1000010011110011100…
…1101110100000000000
3111122110220000020211110
42010330321232200000
54314330423431100
6145325301443320
713212422212305
oct2047471564000
9448426006743
10142755686400
11555a6955118
1223800710540
1310600775172
146ca35d90ac
153aa7b06250
hex213ce6e800

142755686400 has 144 divisors (see below), whose sum is σ = 471930732000. Its totient is φ = 38068142080.

The previous prime is 142755686393. The next prime is 142755686413. The reversal of 142755686400 is 4686557241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142755686400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311100 + ... + 618299.

It is an arithmetic number, because the mean of its divisors is an integer number (3277296750).

Almost surely, 2142755686400 is an apocalyptic number.

142755686400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142755686400 is an abundant number, since it is smaller than the sum of its proper divisors (329175045600).

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

142755686400 is an equidigital number, since it uses as much as digits as its factorization.

142755686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929434 (or 929409 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 142755686400 in words is "one hundred forty-two billion, seven hundred fifty-five million, six hundred eighty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4800 5120 6144 6400 7680 9600 10240 12800 15360 19200 25600 30720 38400 51200 76800 153600 929399 1858798 2788197 3717596 4646995 5576394 7435192 9293990 11152788 13940985 14870384 18587980 22305576 23234975 27881970 29740768 37175960 44611152 46469950 55763940 59481536 69704925 74351920 89222304 92939900 111527880 118963072 139409850 148703840 178444608 185879800 223055760 237926144 278819700 297407680 356889216 371759600 446111520 475852288 557639400 594815360 713778432 743519200 892223040 951704576 1115278800 1189630720 1427556864 1487038400 1784446080 1903409152 2230557600 2379261440 2855113728 2974076800 3568892160 4461115200 4758522880 5710227456 5948153600 7137784320 8922230400 9517045760 11896307200 14275568640 17844460800 23792614400 28551137280 35688921600 47585228800 71377843200 142755686400