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142010304000 = 29353739637
BaseRepresentation
bin1000010001000001111…
…0010100011000000000
3111120112221102220101220
42010100132110120000
54311314114212000
6145123313355040
713155101444625
oct2042036243000
9446487386356
10142010304000
1155254129304
1223632b68a80
13105122063a6
146c3260a34c
153a6246c1a0
hex2110794600

142010304000 has 160 divisors (see below), whose sum is σ = 472149396576. Its totient is φ = 37869363200.

The previous prime is 142010303999. The next prime is 142010304043. The reversal of 142010304000 is 403010241.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 177819 + ... + 561818.

Almost surely, 2142010304000 is an apocalyptic number.

142010304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142010304000 is an abundant number, since it is smaller than the sum of its proper divisors (330139092576).

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

142010304000 is an frugal number, since it uses more digits than its factorization.

142010304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739673 (or 739647 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 142010304000 its reverse (403010241), we get a palindrome (142413314241).

The spelling of 142010304000 in words is "one hundred forty-two billion, ten million, three hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3200 3840 4000 4800 6000 6400 7680 8000 9600 12000 12800 16000 19200 24000 32000 38400 48000 64000 96000 192000 739637 1479274 2218911 2958548 3698185 4437822 5917096 7396370 8875644 11094555 11834192 14792740 17751288 18490925 22189110 23668384 29585480 35502576 36981850 44378220 47336768 55472775 59170960 71005152 73963700 88756440 92454625 94673536 110945550 118341920 142010304 147927400 177512880 184909250 189347072 221891100 236683840 277363875 284020608 295854800 355025760 369818500 378694144 443782200 473367680 554727750 568041216 591709600 710051520 739637000 887564400 946735360 1109455500 1136082432 1183419200 1420103040 1479274000 1775128800 1893470720 2218911000 2366838400 2840206080 2958548000 3550257600 4437822000 4733676800 5680412160 5917096000 7100515200 8875644000 9467353600 11834192000 14201030400 17751288000 23668384000 28402060800 35502576000 47336768000 71005152000 142010304000