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30414031340 = 22571136753813
BaseRepresentation
bin11100010100110100…
…010100100111101100
32220111121100212121012
4130110310110213230
5444241443000330
621545542124352
72124455000210
oct342464244754
986447325535
1030414031340
1111997a229a0
125a897206b8
132b390aa164
141687422940
15bd015ec95
hex714d149ec

30414031340 has 96 divisors (see below), whose sum is σ = 79847921664. Its totient is φ = 9453692160.

The previous prime is 30414031267. The next prime is 30414031357. The reversal of 30414031340 is 4313041403.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 538274 + ... + 592086.

It is an arithmetic number, because the mean of its divisors is an integer number (831749184).

Almost surely, 230414031340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30414031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39923960832).

30414031340 is an abundant number, since it is smaller than the sum of its proper divisors (49433890324).

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

30414031340 is a wasteful number, since it uses less digits than its factorization.

30414031340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54207 (or 54205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 30414031340 its reverse (4313041403), we get a palindrome (34727072743).

The spelling of 30414031340 in words is "thirty billion, four hundred fourteen million, thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 367 385 734 770 1468 1540 1835 2569 3670 4037 5138 7340 8074 10276 12845 16148 20185 25690 28259 40370 51380 53813 56518 80740 107626 113036 141295 215252 269065 282590 376691 538130 565180 591943 753382 1076260 1183886 1506764 1883455 2367772 2959715 3766910 4143601 5919430 7533820 8287202 11838860 16574404 19749371 20718005 39498742 41436010 78997484 82872020 98746855 138245597 197493710 217243081 276491194 394987420 434486162 552982388 691227985 868972324 1086215405 1382455970 1520701567 2172430810 2764911940 3041403134 4344861620 6082806268 7603507835 15207015670 30414031340