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140431041140240 = 24523983312124877
BaseRepresentation
bin11111111011100010100110…
…010100101001011000010000
3200102020002001201012012212202
4133323202212110221120100
5121401310233012441430
61214401044002342332
741402544053364164
oct3773424624513020
9612202051165782
10140431041140240
114082251976a754
121390058765a9a8
13604878a026836
142696c81cb4ca4
151137e01119d45
hex7fb8a6529610

140431041140240 has 160 divisors (see below), whose sum is σ = 341167494882816. Its totient is φ = 53656123023360.

The previous prime is 140431041140213. The next prime is 140431041140251. The reversal of 140431041140240 is 42041140134041.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5645002682 + ... + 5645027558.

Almost surely, 2140431041140240 is an apocalyptic number.

140431041140240 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 140431041140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170583747441408).

140431041140240 is an abundant number, since it is smaller than the sum of its proper divisors (200736453742576).

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

140431041140240 is a wasteful number, since it uses less digits than its factorization.

140431041140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29017 (or 29011 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 140431041140240 its reverse (42041140134041), we get a palindrome (182472181274281).

The spelling of 140431041140240 in words is "one hundred forty trillion, four hundred thirty-one billion, forty-one million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 983 1840 1966 3121 3932 4915 6242 7864 9830 12484 15605 15728 19660 22609 24877 24968 31210 39320 45218 49754 49936 62420 71783 78640 90436 99508 113045 124385 124840 143566 180872 199016 226090 248770 249680 287132 358915 361744 398032 452180 497540 572171 574264 717830 904360 995080 1144342 1148528 1435660 1808720 1990160 2288684 2860855 2871320 3067943 4577368 5721710 5742640 6135886 9154736 11443420 12271772 15339715 22886840 24454091 24543544 30679430 45773680 48908182 49087088 61358860 70562689 77641117 97816364 122270455 122717720 141125378 155282234 195632728 244540910 245435440 282250756 310564468 352813445 388205585 391265456 489081820 562444093 564501512 621128936 705626890 776411170 978163640 1124888186 1129003024 1242257872 1411253780 1552822340 1785745691 1956327280 2249776372 2812220465 2822507560 3105644680 3571491382 4499552744 5624440930 5645015120 6211289360 7142982764 8928728455 8999105488 11248881860 14285965528 17857456910 22497763720 28571931056 35714913820 44995527440 71429827640 76321218011 142859655280 152642436022 305284872044 381606090055 610569744088 763212180110 1221139488176 1526424360220 1755388014253 3052848720440 3510776028506 6105697440880 7021552057012 8776940071265 14043104114024 17553880142530 28086208228048 35107760285060 70215520570120 140431041140240