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314264642070 = 235234131335491
BaseRepresentation
bin1001001001010111010…
…00011110001000010110
31010001011122100220222210
410210223220132020112
520122103222021240
6400212101534250
731463525245161
oct4445350361026
91101148326883
10314264642070
11111308219a95
1250aa6714386
1323834208912
14112d3826ad8
158294b69780
hex492ba1e216

314264642070 has 128 divisors (see below), whose sum is σ = 808822361088. Its totient is φ = 77953075200.

The previous prime is 314264641969. The next prime is 314264642071. The reversal of 314264642070 is 70246462413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314264642071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8837025 + ... + 8872515.

It is an arithmetic number, because the mean of its divisors is an integer number (6318924696).

Almost surely, 2314264642070 is an apocalyptic number.

314264642070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314264642070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404411180544).

314264642070 is an abundant number, since it is smaller than the sum of its proper divisors (494557719018).

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

314264642070 is a wasteful number, since it uses less digits than its factorization.

314264642070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35878.

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 314264642070 in words is "three hundred fourteen billion, two hundred sixty-four million, six hundred forty-two thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 41 46 69 82 115 123 138 205 230 246 313 345 410 615 626 690 939 943 1230 1565 1878 1886 2829 3130 4695 4715 5658 7199 9390 9430 12833 14145 14398 21597 25666 28290 35491 35995 38499 43194 64165 70982 71990 76998 106473 107985 128330 177455 192495 212946 215970 295159 354910 384990 532365 590318 816293 885477 1064730 1455131 1475795 1632586 1770954 2448879 2910262 2951590 4081465 4365393 4427385 4897758 7275655 8162930 8730786 8854770 11108683 12244395 14551310 21826965 22217366 24488790 33326049 33468013 43653930 55543415 66652098 66936026 100404039 111086830 166630245 167340065 200808078 255499709 333260490 334680130 455456003 502020195 510999418 766499127 910912006 1004040390 1277498545 1366368009 1532998254 2277280015 2554997090 2732736018 3832495635 4554560030 6831840045 7664991270 10475488069 13663680090 20950976138 31426464207 52377440345 62852928414 104754880690 157132321035 314264642070