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140432412003200 = 2752341312858227
BaseRepresentation
bin11111111011100011111000…
…000010000100101110000000
3200102020012121020201021022222
4133323203320002010232000
5121401321034433100300
61214401432012550212
741402623040464202
oct3773437002045600
9612205536637288
10140432412003200
1140823062568349
12139008aa782368
136048948043055
142696d71da0772
151137e81656785
hex7fb8f8084b80

140432412003200 has 96 divisors (see below), whose sum is σ = 347013614048760. Its totient is φ = 56156501903360.

The previous prime is 140432412003199. The next prime is 140432412003227. The reversal of 140432412003200 is 2300214234041.

It is a super-2 number, since 2×1404324120032002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140432412003200.

It is a congruent number.

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, 4492487 + ... + 17350713.

Almost surely, 2140432412003200 is an apocalyptic number.

140432412003200 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 140432412003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173506807024380).

140432412003200 is an abundant number, since it is smaller than the sum of its proper divisors (206581202045560).

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

140432412003200 is a wasteful number, since it uses less digits than its factorization.

140432412003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12861664 (or 12861647 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 140432412003200 its reverse (2300214234041), we get a palindrome (142732626237241).

The spelling of 140432412003200 in words is "one hundred forty trillion, four hundred thirty-two billion, four hundred twelve million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3413 6826 13652 17065 27304 34130 54608 68260 85325 109216 136520 170650 218432 273040 341300 436864 546080 682600 1092160 1365200 2184320 2730400 5460800 10921600 12858227 25716454 51432908 64291135 102865816 128582270 205731632 257164540 321455675 411463264 514329080 642911350 822926528 1028658160 1285822700 1645853056 2057316320 2571645400 4114632640 5143290800 8229265280 10286581600 20573163200 41146326400 43885128751 87770257502 175540515004 219425643755 351081030008 438851287510 702162060016 877702575020 1097128218775 1404324120032 1755405150040 2194256437550 2808648240064 3510810300080 4388512875100 5617296480128 7021620600160 8777025750200 14043241200320 17554051500400 28086482400640 35108103000800 70216206001600 140432412003200