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313481401680 = 243523311831939
BaseRepresentation
bin1001000111111001111…
…00101001010101010000
31002222011001120012011110
410203330330221111100
520114002214323210
6400002242213320
731435234643406
oct4437474512520
91088131505143
10313481401680
11110a46095987
1250908354240
132373ab73275
141125b7c1476
15824b003420
hex48fcf29550

313481401680 has 160 divisors (see below), whose sum is σ = 1046755860480. Its totient is φ = 77381061120.

The previous prime is 313481401663. The next prime is 313481401691. The reversal of 313481401680 is 86104184313.

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 31 ways as a sum of consecutive naturals, for example, 744850 + ... + 1087089.

It is an arithmetic number, because the mean of its divisors is an integer number (6542224128).

Almost surely, 2313481401680 is an apocalyptic number.

313481401680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313481401680 is an abundant number, since it is smaller than the sum of its proper divisors (733274458800).

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

313481401680 is a wasteful number, since it uses less digits than its factorization.

313481401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832009 (or 1832003 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

Adding to 313481401680 its reverse (86104184313), we get a palindrome (399585585993).

The spelling of 313481401680 in words is "three hundred thirteen billion, four hundred eighty-one million, four hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1380 1426 1488 1840 1860 2139 2480 2760 2852 3565 3720 4278 5520 5704 7130 7440 8556 10695 11408 14260 17112 21390 28520 34224 42780 57040 85560 171120 1831939 3663878 5495817 7327756 9159695 10991634 14655512 18319390 21983268 27479085 29311024 36638780 42134597 43966536 54958170 56790109 73277560 84269194 87933072 109916340 113580218 126403791 146555120 168538388 170370327 210672985 219832680 227160436 252807582 283950545 337076776 340740654 421345970 439665360 454320872 505615164 567901090 632018955 674153552 681481308 842691940 851851635 908641744 1011230328 1135802180 1264037910 1306172507 1362962616 1685383880 1703703270 2022460656 2271604360 2528075820 2612345014 2725925232 3370767760 3407406540 3918517521 4543208720 5056151640 5224690028 6530862535 6814813080 7837035042 10112303280 10449380056 13061725070 13629626160 15674070084 19592587605 20898760112 26123450140 31348140168 39185175210 52246900280 62696280336 78370350420 104493800560 156740700840 313481401680