Search a number
-
+
2431330042700 = 225213367165173
BaseRepresentation
bin100011011000010110100…
…100000100001101001100
322121102200120102021220202
4203120112210010031030
5304313330442331300
65100534304433032
7340441424242316
oct43302644041514
98542616367822
102431330042700
11858137473a59
1233325b618778
13148372991000
148596999c7b6
15433a0176ad5
hex2361690434c

2431330042700 has 144 divisors (see below), whose sum is σ = 5800791954720. Its totient is φ = 884317674240.

The previous prime is 2431330042693. The next prime is 2431330042721. The reversal of 2431330042700 is 72400331342.

It is a super-2 number, since 2×24313300427002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14637314 + ... + 14802486.

Almost surely, 22431330042700 is an apocalyptic number.

2431330042700 is a gapful number since it is divisible by the number (20) 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 2431330042700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900395977360).

2431330042700 is an abundant number, since it is smaller than the sum of its proper divisors (3369461912020).

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

2431330042700 is a wasteful number, since it uses less digits than its factorization.

2431330042700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165293 (or 165260 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The spelling of 2431330042700 in words is "two trillion, four hundred thirty-one billion, three hundred thirty million, forty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 169 260 268 325 335 338 650 670 676 845 871 1300 1340 1675 1690 1742 2197 3350 3380 3484 4225 4355 4394 6700 8450 8710 8788 10985 11323 16900 17420 21775 21970 22646 43550 43940 45292 54925 56615 87100 109850 113230 147199 165173 219700 226460 283075 294398 330346 566150 588796 660692 735995 825865 1132300 1471990 1651730 2147249 2943980 3303460 3679975 4129325 4294498 7359950 8258650 8588996 10736245 11066591 14719900 16517300 21472490 22133182 27914237 42944980 44266364 53681225 55332955 55828474 107362450 110665910 111656948 139571185 143865683 214724900 221331820 276664775 279142370 287731366 362885081 553329550 558284740 575462732 697855925 719328415 725770162 1106659100 1395711850 1438656830 1451540324 1814425405 1870253879 2791423700 2877313660 3596642075 3628850810 3740507758 7193284150 7257701620 7481015516 9072127025 9351269395 14386568300 18144254050 18702538790 24313300427 36288508100 37405077580 46756346975 48626600854 93512693950 97253201708 121566502135 187025387900 243133004270 486266008540 607832510675 1215665021350 2431330042700