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514122551343240 = 233571993075631439
BaseRepresentation
bin111010011100101110111110…
…0000010110011100010001000
32111102100122011120110212122120
41310321131330002303202020
51014341340441120440430
65021240350045251240
7213202062045630240
oct16471357402634210
92442318146425576
10514122551343240
111398a71710a4504
12497b448a263b20
13190b471926a048
1490d5942a08b20
153e68792770610
hex1d3977c0b3888

514122551343240 has 128 divisors (see below), whose sum is σ = 1771563709440000. Its totient is φ = 116923204747008.

The previous prime is 514122551343187. The next prime is 514122551343251. The reversal of 514122551343240 is 42343155221415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 514122551343192 and 514122551343201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537648560 + ... + 1537982879.

It is an arithmetic number, because the mean of its divisors is an integer number (13840341480000).

Almost surely, 2514122551343240 is an apocalyptic number.

It is an amenable number.

514122551343240 is an abundant number, since it is smaller than the sum of its proper divisors (1257441158096760).

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

514122551343240 is a wasteful number, since it uses less digits than its factorization.

514122551343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075631659 (or 3075631655 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 514122551343240 in words is "five hundred fourteen trillion, one hundred twenty-two billion, five hundred fifty-one million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 199 210 280 398 420 597 796 840 995 1194 1393 1592 1990 2388 2786 2985 3980 4179 4776 5572 5970 6965 7960 8358 11144 11940 13930 16716 20895 23880 27860 33432 41790 55720 83580 167160 3075631439 6151262878 9226894317 12302525756 15378157195 18453788634 21529420073 24605051512 30756314390 36907577268 43058840146 46134471585 61512628780 64588260219 73815154536 86117680292 92268943170 107647100365 123025257560 129176520438 172235360584 184537886340 215294200730 258353040876 322941301095 369075772680 430588401460 516706081752 612050656361 645882602190 861176802920 1224101312722 1291765204380 1836151969083 2448202625444 2583530408760 3060253281805 3672303938166 4284354594527 4896405250888 6120506563610 7344607876332 8568709189054 9180759845415 12241013127220 12853063783581 14689215752664 17137418378108 18361519690830 21421772972635 24482026254440 25706127567162 34274836756216 36723039381660 42843545945270 51412255134324 64265318917905 73446078763320 85687091890540 102824510268648 128530637835810 171374183781080 257061275671620 514122551343240