Search a number
-
+
30402420142200 = 2335261830667217
BaseRepresentation
bin1101110100110100111010…
…11100111111000001111000
310222122102221221012002110020
412322122131130333001320
512441103124024022300
6144354402355250440
76255334212224331
oct672323534770170
9128572857162406
1030402420142200
119761659643077
1234b0238ba9a20
1313c6c222992a2
147716b0b33288
1537ac83dc68a0
hex1ba69d73f078

30402420142200 has 96 divisors (see below), whose sum is σ = 95792543579760. Its totient is φ = 7974405273600.

The previous prime is 30402420142187. The next prime is 30402420142217. The reversal of 30402420142200 is 224102420403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415297009 + ... + 415370208.

Almost surely, 230402420142200 is an apocalyptic number.

30402420142200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30402420142200 is an abundant number, since it is smaller than the sum of its proper divisors (65390123437560).

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

30402420142200 is a wasteful number, since it uses less digits than its factorization.

30402420142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830667297 (or 830667288 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30402420142200 its reverse (224102420403), we get a palindrome (30626522562603).

The spelling of 30402420142200 in words is "thirty trillion, four hundred two billion, four hundred twenty million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 915 1220 1464 1525 1830 2440 3050 3660 4575 6100 7320 9150 12200 18300 36600 830667217 1661334434 2492001651 3322668868 4153336085 4984003302 6645337736 8306672170 9968006604 12460008255 16613344340 19936013208 20766680425 24920016510 33226688680 41533360850 49840033020 50670700237 62300041275 83066721700 99680066040 101341400474 124600082550 152012100711 166133443400 202682800948 249200165100 253353501185 304024201422 405365601896 498400330200 506707002370 608048402844 760060503555 1013414004740 1216096805688 1266767505925 1520121007110 2026828009480 2533535011850 3040242014220 3800302517775 5067070023700 6080484028440 7600605035550 10134140047400 15201210071100 30402420142200