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140312344400 = 24521574574889
BaseRepresentation
bin1000001010101101000…
…1000111011101010000
3111102011121102121201022
42002223101013131100
54244324430010100
6144243020255012
713065033151244
oct2025321073520
9442147377638
10140312344400
115456272a108
122323a3a1468
13103014c2777
146b10cd6424
1539b336ce85
hex20ab447750

140312344400 has 120 divisors (see below), whose sum is σ = 340059421560. Its totient is φ = 55634042880.

The previous prime is 140312344397. The next prime is 140312344409. The reversal of 140312344400 is 4443213041.

It can be written as a sum of positive squares in 12 ways, for example, as 15092613904 + 125219730496 = 122852^2 + 353864^2 .

It is a super-2 number, since 2×1403123444002 (a number of 23 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 140312344400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140312344409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28697156 + ... + 28702044.

It is an arithmetic number, because the mean of its divisors is an integer number (2833828513).

Almost surely, 2140312344400 is an apocalyptic number.

140312344400 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 140312344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170029710780).

140312344400 is an abundant number, since it is smaller than the sum of its proper divisors (199747077160).

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

140312344400 is a wasteful number, since it uses less digits than its factorization.

140312344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5510 counting only the distinct ones).

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

Adding to 140312344400 its reverse (4443213041), we get a palindrome (144755557441).

The spelling of 140312344400 in words is "one hundred forty billion, three hundred twelve million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 157 200 314 400 457 628 785 914 1256 1570 1828 2285 2512 3140 3656 3925 4570 4889 6280 7312 7850 9140 9778 11425 12560 15700 18280 19556 22850 24445 31400 36560 39112 45700 48890 62800 71749 78224 91400 97780 122225 143498 182800 195560 244450 286996 358745 391120 488900 573992 717490 767573 977800 1147984 1434980 1535146 1793725 1955600 2234273 2869960 3070292 3587450 3837865 4468546 5739920 6140584 7174900 7675730 8937092 11171365 12281168 14349800 15351460 17874184 19189325 22342730 28699600 30702920 35748368 38378650 44685460 55856825 61405840 76757300 89370920 111713650 153514600 178741840 223427300 307029200 350780861 446854600 701561722 893709200 1403123444 1753904305 2806246888 3507808610 5612493776 7015617220 8769521525 14031234440 17539043050 28062468880 35078086100 70156172200 140312344400