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140555772034400 = 25523123324324341
BaseRepresentation
bin11111111101010110110000…
…110111001111110101100000
3200102200000000102101011010102
4133331112300313033311200
5121410331210120100100
61214534232534321532
741414551026446012
oct3775266067176540
9612600012334112
10140555772034400
1140870406039658
12139207977b92a8
13605747739a958
14269cd1566c1b2
15113b2a15bbcd5
hex7fd5b0dcfd60

140555772034400 has 144 divisors (see below), whose sum is σ = 355720734165888. Its totient is φ = 54175170048000.

The previous prime is 140555772034387. The next prime is 140555772034409. The reversal of 140555772034400 is 4430277555041.

It is a super-2 number, since 2×1405557720344002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140555772034409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6383771 + ... + 17940570.

It is an arithmetic number, because the mean of its divisors is an integer number (2470282876152).

Almost surely, 2140555772034400 is an apocalyptic number.

140555772034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140555772034400 is an abundant number, since it is smaller than the sum of its proper divisors (215164962131488).

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

140555772034400 is a wasteful number, since it uses less digits than its factorization.

140555772034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24324625 (or 24324612 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 47.

The spelling of 140555772034400 in words is "one hundred forty trillion, five hundred fifty-five billion, seven hundred seventy-two million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 233 248 310 400 466 496 620 775 800 932 992 1165 1240 1550 1864 2330 2480 3100 3728 4660 4960 5825 6200 7223 7456 9320 11650 12400 14446 18640 23300 24800 28892 36115 37280 46600 57784 72230 93200 115568 144460 180575 186400 231136 288920 361150 577840 722300 1155680 1444600 2889200 5778400 24324341 48648682 97297364 121621705 194594728 243243410 389189456 486486820 608108525 754054571 778378912 972973640 1216217050 1508109142 1945947280 2432434100 3016218284 3770272855 3891894560 4864868200 5667571453 6032436568 7540545710 9729736400 11335142906 12064873136 15081091420 18851364275 19459472800 22670285812 24129746272 28337857265 30162182840 37702728550 45340571624 56675714530 60324365680 75405457100 90681143248 113351429060 120648731360 141689286325 150810914200 175694715043 181362286496 226702858120 283378572650 301621828400 351389430086 453405716240 566757145300 603243656800 702778860172 878473575215 906811432480 1133514290600 1405557720344 1756947150430 2267028581200 2811115440688 3513894300860 4392367876075 4534057162400 5622230881376 7027788601720 8784735752150 14055577203440 17569471504300 28111154406880 35138943008600 70277886017200 140555772034400