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15142240376652 = 22317834219211969
BaseRepresentation
bin1101110001011001001111…
…0110111101011101001100
31222121120202202201011222210
43130112103312331131030
53441042302014023102
652112125454310420
73121663555352214
oct334262366753514
958546682634883
1015142240376652
114908873a31874
1218468017b8410
1385aba3cac21c
143a4c61891244
151b3d3edcb36c
hexdc593dbd74c

15142240376652 has 96 divisors (see below), whose sum is σ = 37870119302400. Its totient is φ = 4692137213952.

The previous prime is 15142240376581. The next prime is 15142240376657. The reversal of 15142240376652 is 25667304224151.

It is a happy number.

It is a super-4 number, since 4×151422403766524 (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (15142240376657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71330124 + ... + 71542092.

It is an arithmetic number, because the mean of its divisors is an integer number (394480409400).

Almost surely, 215142240376652 is an apocalyptic number.

15142240376652 is a gapful number since it is divisible by the number (12) 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 15142240376652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935059651200).

15142240376652 is an abundant number, since it is smaller than the sum of its proper divisors (22727878925748).

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

15142240376652 is a wasteful number, since it uses less digits than its factorization.

15142240376652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216295 (or 216293 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 15142240376652 in words is "fifteen trillion, one hundred forty-two billion, two hundred forty million, three hundred seventy-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 498 996 1411 2822 4219 4233 5644 8438 8466 12657 16876 16932 25314 50628 71723 143446 211969 215169 286892 350177 423938 430338 635907 700354 847876 860676 1050531 1271814 1400708 2101062 2543628 3603473 4202124 5953009 7206946 10810419 11906018 14413892 17593427 17859027 21620838 23812036 35186854 35718054 43241676 52780281 70373708 71436108 105560562 211121124 299088259 598176518 894297211 897264777 1196353036 1788594422 1794529554 2682891633 3577188844 3589059108 5365783266 10731566532 15203052587 30406105174 45609157761 60812210348 74226668513 91218315522 148453337026 182436631044 222680005539 296906674052 445360011078 890720022156 1261853364721 2523706729442 3785560094163 5047413458884 7571120188326 15142240376652