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140625414044440 = 235138927043112361
BaseRepresentation
bin11111111110010111100111…
…110110011011101100011000
3200102220122202220002211002121
4133332113213312123230120
5121413001321443410230
61215030231240311024
741422564565663113
oct3776274766335430
9612818686084077
10140625414044440
11408979a3149556
1213932192772474
136060bc55c2410
1426a24408d757a
15113ceca56677a
hex7fe5e7d9bb18

140625414044440 has 128 divisors (see below), whose sum is σ = 344590613035200. Its totient is φ = 51337467371520.

The previous prime is 140625414044371. The next prime is 140625414044471. The reversal of 140625414044440 is 44440414526041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1251493860 + ... + 1251606220.

Almost surely, 2140625414044440 is an apocalyptic number.

140625414044440 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 140625414044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172295306517600).

140625414044440 is an abundant number, since it is smaller than the sum of its proper divisors (203965198990760).

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

140625414044440 is a wasteful number, since it uses less digits than its factorization.

140625414044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139517 (or 139513 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 43.

The spelling of 140625414044440 in words is "one hundred forty trillion, six hundred twenty-five billion, four hundred fourteen million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2314 3560 4628 5785 9256 11570 23140 27043 46280 54086 108172 112361 135215 216344 224722 270430 351559 449444 540860 561805 703118 898888 1081720 1123610 1406236 1460693 1757795 2247220 2406827 2812472 2921386 3515590 4494440 4813654 5842772 7031180 7303465 9627308 10000129 11685544 12034135 14062360 14606930 19254616 20000258 24068270 29213860 31288751 40000516 48136540 50000645 58427720 62577502 80001032 96273080 100001290 125155004 130001677 156443755 200002580 250310008 260003354 312887510 400005160 520006708 625775020 650008385 1040013416 1251550040 1300016770 2600033540 3038578523 5200067080 6077157046 12154314092 15192892615 24308628184 30385785230 39501520799 60771570460 79003041598 121543140920 158006083196 197507603995 270433488547 316012166392 395015207990 540866977094 790030415980 1081733954188 1352167442735 1580060831960 2163467908376 2704334885470 3515635351111 5408669770940 7031270702222 10817339541880 14062541404444 17578176755555 28125082808888 35156353511110 70312707022220 140625414044440