Search a number
-
+
2430906680280 = 2335131579925309
BaseRepresentation
bin100011010111111101010…
…101000100001111011000
322121101121001210020212010
4203113331111010033120
5304311444102232110
65100424302345520
7340425063565461
oct43277525041730
98541531706763
102430906680280
11857a3a4a1561
1233316188b2a0
1314830605c9c0
1485929675d68
1543377deb020
hex235fd5443d8

2430906680280 has 128 divisors (see below), whose sum is σ = 7903722859200. Its totient is φ = 594565650432.

The previous prime is 2430906680269. The next prime is 2430906680291. The reversal of 2430906680280 is 820866090342.

It is an interprime number because it is at equal distance from previous prime (2430906680269) and next prime (2430906680291).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4717735 + ... + 5207574.

Almost surely, 22430906680280 is an apocalyptic number.

2430906680280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430906680280 is an abundant number, since it is smaller than the sum of its proper divisors (5472816178920).

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

2430906680280 is a wasteful number, since it uses less digits than its factorization.

2430906680280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9925493 (or 9925489 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 2430906680280 in words is "two trillion, four hundred thirty billion, nine hundred six million, six hundred eighty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 157 195 260 312 314 390 471 520 628 780 785 942 1256 1560 1570 1884 2041 2355 3140 3768 4082 4710 6123 6280 8164 9420 10205 12246 16328 18840 20410 24492 30615 40820 48984 61230 81640 122460 244920 9925309 19850618 29775927 39701236 49626545 59551854 79402472 99253090 119103708 129029017 148879635 198506180 238207416 258058034 297759270 387087051 397012360 516116068 595518540 645145085 774174102 1032232136 1191037080 1290290170 1548348204 1558273513 1935435255 2580580340 3096696408 3116547026 3870870510 4674820539 5161160680 6233094052 7741741020 7791367565 9349641078 12466188104 15483482040 15582735130 18699282156 20257555669 23374102695 31165470260 37398564312 40515111338 46748205390 60772667007 62330940520 81030222676 93496410780 101287778345 121545334014 162060445352 186992821560 202575556690 243090668028 303863335035 405151113380 486181336056 607726670070 810302226760 1215453340140 2430906680280