Search a number
-
+
3435454024236 = 223213311879126023
BaseRepresentation
bin110001111111100001000…
…001000100101000101100
3110011102111200211200112200
4301333201001010220230
5422241302212233421
611150120434301500
7503126516251203
oct61774101045054
913142450750480
103435454024236
111104a71264253
12475992727890
131bbc6746a4c0
14bc3c39d023a
155e56d9a3726
hex31fe1044a2c

3435454024236 has 144 divisors (see below), whose sum is σ = 9658963292160. Its totient is φ = 1022411445120.

The previous prime is 3435454024217. The next prime is 3435454024237. The reversal of 3435454024236 is 6324204545343.

3435454024236 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 4 + 5 + 402 + 4 + 236 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3435454024191 and 3435454024200.

It is not an unprimeable number, because it can be changed into a prime (3435454024237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27197521 + ... + 27323543.

Almost surely, 23435454024236 is an apocalyptic number.

3435454024236 is a gapful number since it is divisible by the number (36) 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 3435454024236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829481646080).

3435454024236 is an abundant number, since it is smaller than the sum of its proper divisors (6223509267924).

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

3435454024236 is a wasteful number, since it uses less digits than its factorization.

3435454024236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127956 (or 127951 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 3435454024236 its reverse (6324204545343), we get a palindrome (9759658569579).

The spelling of 3435454024236 in words is "three trillion, four hundred thirty-five billion, four hundred fifty-four million, twenty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 1879 2418 3627 3758 4836 5637 7254 7516 11274 14508 16911 22548 24427 33822 48854 58249 67644 73281 97708 116498 126023 146562 174747 219843 232996 252046 293124 349494 378069 439686 504092 524241 698988 756138 757237 879372 1048482 1134207 1512276 1514474 1638299 2096964 2268414 2271711 3028948 3276598 3906713 4536828 4543422 4914897 6553196 6815133 7813426 9086844 9829794 11720139 13630266 14744691 15626852 19659588 23440278 27260532 29489382 35160417 46880556 50787269 58978764 70320834 101574538 140641668 152361807 203149076 236797217 304723614 457085421 473594434 609447228 710391651 914170842 947188868 1420783302 1828341684 2131174953 2841566604 3078363821 4262349906 6156727642 7340713727 8524699812 9235091463 12313455284 14681427454 18470182926 22022141181 27705274389 29362854908 36940365852 44044282362 55410548778 66066423543 88088564724 95429278451 110821097556 132132847086 190858556902 264265694172 286287835353 381717113804 572575670706 858863506059 1145151341412 1717727012118 3435454024236