Search a number
-
+
2034412212040 = 2351311777332201
BaseRepresentation
bin11101100110101100011…
…010101100111101001000
321012111011200111100101221
4131212230122230331020
5231312434011241130
64154332430051424
7266660426323615
oct35465432547510
97174150440357
102034412212040
1171487572504a
1228a348649b74
13119ac8a76b10
1470674cb150c
1537dbe15387a
hex1d9ac6acf48

2034412212040 has 64 divisors (see below), whose sum is σ = 4929970696560. Its totient is φ = 751101542400.

The previous prime is 2034412212029. The next prime is 2034412212067. The reversal of 2034412212040 is 402122144302.

It can be written as a sum of positive squares in 8 ways, for example, as 331893514404 + 1702518697636 = 576102^2 + 1304806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2034412211996 and 2034412212014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5957940 + ... + 6290140.

Almost surely, 22034412212040 is an apocalyptic number.

2034412212040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034412212040 is an abundant number, since it is smaller than the sum of its proper divisors (2895558484520).

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

2034412212040 is a wasteful number, since it uses less digits than its factorization.

2034412212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344002 (or 343998 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2034412212040 its reverse (402122144302), we get a palindrome (2436534356342).

The spelling of 2034412212040 in words is "two trillion, thirty-four billion, four hundred twelve million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 11777 23554 47108 58885 94216 117770 153101 235540 306202 332201 471080 612404 664402 765505 1224808 1328804 1531010 1661005 2657608 3062020 3322010 4318613 6124040 6644020 8637226 13288040 17274452 21593065 34548904 43186130 86372260 172744520 3912331177 7824662354 15649324708 19561655885 31298649416 39123311770 50860305301 78246623540 101720610602 156493247080 203441221204 254301526505 406882442408 508603053010 1017206106020 2034412212040