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20144513427324 = 223112131657644057
BaseRepresentation
bin1001001010010010000101…
…00100010010011101111100
32122022210111202222020201220
410211021002210102131330
510120021430414133244
6110502132310233340
74146251551624266
oct445110244223574
978283452866656
1020144513427324
116467270732a00
122314184955850
13b31808c71090
144d8ddd08cb36
1524e011e49319
hex12524291277c

20144513427324 has 144 divisors (see below), whose sum is σ = 55673331878304. Its totient is φ = 5631419566080.

The previous prime is 20144513427319. The next prime is 20144513427331. The reversal of 20144513427324 is 42372431544102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30955504 + ... + 31599560.

It is an arithmetic number, because the mean of its divisors is an integer number (386620360266).

Almost surely, 220144513427324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144513427324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27836665939152).

20144513427324 is an abundant number, since it is smaller than the sum of its proper divisors (35528818450980).

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

20144513427324 is a wasteful number, since it uses less digits than its factorization.

20144513427324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645756 (or 645743 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 20144513427324 in words is "twenty trillion, one hundred forty-four billion, five hundred thirteen million, four hundred twenty-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1657 1716 3146 3314 4719 4971 6292 6628 9438 9942 18227 18876 19884 21541 36454 43082 54681 64623 72908 86164 109362 129246 200497 218724 236951 258492 400994 473902 601491 644057 710853 801988 947804 1202982 1288114 1421706 1932171 2405964 2576228 2606461 2843412 3864342 5212922 7084627 7728684 7819383 8372741 10425844 14169254 15638766 16745482 21253881 25118223 28338508 31277532 33490964 42507762 50236446 77930897 85015524 92100151 100472892 155861794 184200302 233792691 276300453 311723588 368400604 467585382 552600906 935170764 1013101661 1067202449 1105201812 2026203322 2134404898 3039304983 3201607347 4052406644 4268809796 6078609966 6403214694 11739226939 12157219932 12806429388 13873631837 23478453878 27747263674 35217680817 41620895511 46956907756 55494527348 70435361634 83241791022 129131496329 140870723268 152609950207 166483582044 258262992658 305219900414 387394488987 457829850621 516525985316 610439800828 774788977974 915659701242 1549577955948 1678709452277 1831319402484 3357418904554 5036128356831 6714837809108 10072256713662 20144513427324