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402253515530120 = 235197933120240963
BaseRepresentation
bin101101101110110001111000…
…1111001110001111110001000
31221202021001122010022020221102
41123131203301321301332020
5410211010144433430440
63543304414113400532
7150504600050611202
oct13335436171617610
91852231563266842
10402253515530120
11107196837875521
1239147514569148
131435b4612b7337
14714926178b772
15317880c89db15
hex16dd8f1e71f88

402253515530120 has 128 divisors (see below), whose sum is σ = 967680006912000. Its totient is φ = 150048680221440.

The previous prime is 402253515530071. The next prime is 402253515530147. The reversal of 402253515530120 is 21035515352204.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 9752759 + ... + 29993721.

It is an arithmetic number, because the mean of its divisors is an integer number (7560000054000).

Almost surely, 2402253515530120 is an apocalyptic number.

402253515530120 is a gapful number since it is divisible by the number (40) 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 402253515530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840003456000).

402253515530120 is an abundant number, since it is smaller than the sum of its proper divisors (565426491381880).

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

402253515530120 is a wasteful number, since it uses less digits than its factorization.

402253515530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20241403 (or 20241399 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 402253515530120 in words is "four hundred two trillion, two hundred fifty-three billion, five hundred fifteen million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 331 380 395 632 662 760 790 1324 1501 1580 1655 2648 3002 3160 3310 6004 6289 6620 7505 12008 12578 13240 15010 25156 26149 30020 31445 50312 52298 60040 62890 104596 125780 130745 209192 251560 261490 496831 522980 993662 1045960 1987324 2484155 3974648 4968310 9936620 19873240 20240963 40481926 80963852 101204815 161927704 202409630 384578297 404819260 769156594 809638520 1538313188 1599036077 1922891485 3076626376 3198072154 3845782970 6396144308 6699758753 7691565940 7995180385 12792288616 13399517506 15383131880 15990360770 26799035012 30381685463 31980721540 33498793765 53598070024 60763370926 63961443080 66997587530 121526741852 127295416307 133995175060 151908427315 243053483704 254590832614 267990350120 303816854630 509181665228 529280941487 607633709260 636477081535 1018363330456 1058561882974 1215267418520 1272954163070 2117123765948 2545908326140 2646404707435 4234247531896 5091816652280 5292809414870 10056337888253 10585618829740 20112675776506 21171237659480 40225351553012 50281689441265 80450703106024 100563378882530 201126757765060 402253515530120