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1314215060640 = 253510192686897
BaseRepresentation
bin10011000111111101010…
…100100110010010100000
311122122012220111100112120
4103013331110212102200
5133013003023420030
62443424141424240
7163643321462016
oct23077524462240
94578186440476
101314215060640
114673a015a699
12192853b6b080
1396c12134721
14478734448b6
15242bbd8a010
hex131fd5264a0

1314215060640 has 96 divisors (see below), whose sum is σ = 4143841571520. Its totient is φ = 350113296384.

The previous prime is 1314215060621. The next prime is 1314215060707. The reversal of 1314215060640 is 460605124131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13142150606402 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 854329 + ... + 1832568.

It is an arithmetic number, because the mean of its divisors is an integer number (43165016370).

Almost surely, 21314215060640 is an apocalyptic number.

1314215060640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314215060640 is an abundant number, since it is smaller than the sum of its proper divisors (2829626510880).

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

1314215060640 is a wasteful number, since it uses less digits than its factorization.

1314215060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687934 (or 2687926 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1314215060640 in words is "one trillion, three hundred fourteen billion, two hundred fifteen million, sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1019 2038 3057 4076 5095 6114 8152 10190 12228 15285 16304 20380 24456 30570 32608 40760 48912 61140 81520 97824 122280 163040 244560 489120 2686897 5373794 8060691 10747588 13434485 16121382 21495176 26868970 32242764 40303455 42990352 53737940 64485528 80606910 85980704 107475880 128971056 161213820 214951760 257942112 322427640 429903520 644855280 1289710560 2737948043 5475896086 8213844129 10951792172 13689740215 16427688258 21903584344 27379480430 32855376516 41069220645 43807168688 54758960860 65710753032 82138441290 87614337376 109517921720 131421506064 164276882580 219035843440 262843012128 328553765160 438071686880 657107530320 1314215060640