Search a number
-
+
313455605000 = 2354173687713
BaseRepresentation
bin1001000111110110110…
…10001111010100001000
31002222002021000120202212
410203323122033110020
520113424113330000
6355555521244252
731434502452416
oct4437332172410
91088067016685
10313455605000
11110a3257650a
12508bb793688
1323735710565
14112581c82b6
158248b09c35
hex48fb68f508

313455605000 has 80 divisors (see below), whose sum is σ = 777628251180. Its totient is φ = 118006784000.

The previous prime is 313455604993. The next prime is 313455605009. The reversal of 313455605000 is 506554313.

It can be written as a sum of positive squares in 10 ways, for example, as 5446144804 + 308009460196 = 73798^2 + 554986^2 .

It is not an unprimeable number, because it can be changed into a prime (313455605009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1758857 + ... + 1928856.

Almost surely, 2313455605000 is an apocalyptic number.

It is an amenable number.

313455605000 is an abundant number, since it is smaller than the sum of its proper divisors (464172646180).

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

313455605000 is a wasteful number, since it uses less digits than its factorization.

313455605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687756 (or 3687737 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 313455605000 in words is "three hundred thirteen billion, four hundred fifty-five million, six hundred five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 42500 85000 3687713 7375426 14750852 18438565 29501704 36877130 62691121 73754260 92192825 125382242 147508520 184385650 250764484 313455605 368771300 460964125 501528968 626911210 737542600 921928250 1253822420 1567278025 1843856500 2304820625 2507644840 3134556050 3687713000 4609641250 6269112100 7836390125 9219282500 12538224200 15672780250 18438565000 31345560500 39181950625 62691121000 78363901250 156727802500 313455605000