Search a number
-
+
1315401053520 = 243517341394463
BaseRepresentation
bin10011001001000100000…
…000110011010101010000
311122202021120011000220210
4103021010000303111100
5133022420132203040
62444141545404120
7164014602321141
oct23110400632520
94582246130823
101315401053520
114679496696a4
12192b25199640
1397070a63468
1447946b69ac8
152433b05a480
hex13244033550

1315401053520 has 160 divisors (see below), whose sum is σ = 4318921285632. Its totient is φ = 330039648256.

The previous prime is 1315401053501. The next prime is 1315401053531. The reversal of 1315401053520 is 253501045131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 13877809 + ... + 13972271.

Almost surely, 21315401053520 is an apocalyptic number.

1315401053520 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 1315401053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159460642816).

1315401053520 is an abundant number, since it is smaller than the sum of its proper divisors (3003520232112).

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

1315401053520 is a wasteful number, since it uses less digits than its factorization.

1315401053520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97909 (or 97903 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 1315401053520 its reverse (253501045131), we get a palindrome (1568902098651).

The spelling of 1315401053520 in words is "one trillion, three hundred fifteen billion, four hundred one million, fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 3413 4080 6826 10239 13652 17065 20478 27304 34130 40956 51195 54608 58021 68260 81912 94463 102390 116042 136520 163824 174063 188926 204780 232084 273040 283389 290105 348126 377852 409560 464168 472315 566778 580210 696252 755704 819120 870315 928336 944630 1133556 1160420 1392504 1416945 1511408 1605871 1740630 1889260 2267112 2320840 2785008 2833890 3211742 3481260 3778520 4534224 4641680 4817613 5667780 6423484 6962520 7557040 8029355 9635226 11335560 12846968 13925040 16058710 19270452 22671120 24088065 25693936 32117420 38540904 48176130 64234840 77081808 96352260 128469680 192704520 322402219 385409040 644804438 967206657 1289608876 1612011095 1934413314 2579217752 3224022190 3868826628 4836033285 5158435504 5480837723 6448044380 7737653256 9672066570 10961675446 12896088760 15475306512 16442513169 19344133140 21923350892 25792177520 27404188615 32885026338 38688266280 43846701784 54808377230 65770052676 77376532560 82212565845 87693403568 109616754460 131540105352 164425131690 219233508920 263080210704 328850263380 438467017840 657700526760 1315401053520