Search a number
-
+
3023433144342 = 2331367631101873
BaseRepresentation
bin101011111111110010101…
…010001001100000010110
3101201001000020212100101000
4223333302222021200112
5344013442341104332
610232540201044130
7431302330461132
oct53776252114026
911631006770330
103023433144342
11a6625a209976
12409b65786646
1318c1545668a0
14a64991363c2
15539a6ab2b7c
hex2bff2a89816

3023433144342 has 128 divisors (see below), whose sum is σ = 7355270200320. Its totient is φ = 914940956160.

The previous prime is 3023433144289. The next prime is 3023433144559. The reversal of 3023433144342 is 2434413343203.

3023433144342 is a `hidden beast` number, since 30 + 23 + 433 + 144 + 34 + 2 = 666.

It is a super-2 number, since 2×30234331443422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3023433144297 and 3023433144306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29627518 + ... + 29729390.

It is an arithmetic number, because the mean of its divisors is an integer number (57463048440).

Almost surely, 23023433144342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023433144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677635100160).

3023433144342 is an abundant number, since it is smaller than the sum of its proper divisors (4331837055978).

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

3023433144342 is a wasteful number, since it uses less digits than its factorization.

3023433144342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102595 (or 102589 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 3023433144342 its reverse (2434413343203), we get a palindrome (5457846487545).

The spelling of 3023433144342 in words is "three trillion, twenty-three billion, four hundred thirty-three million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 117 134 201 234 351 402 603 631 702 871 1206 1262 1742 1809 1893 2613 3618 3786 5226 5679 7839 8203 11358 15678 16406 17037 23517 24609 34074 42277 47034 49218 73827 84554 101873 126831 147654 203746 221481 253662 305619 380493 442962 549601 611238 760986 916857 1099202 1141479 1324349 1648803 1833714 2282958 2648698 2750571 3297606 3973047 4946409 5501142 6825491 7946094 9892818 11919141 13650982 14839227 20476473 23838282 29678454 35757423 40952946 61429419 64281863 71514846 88731383 122858838 128563726 177462766 184288257 192845589 266194149 368576514 385691178 532388298 578536767 798582447 835664219 1157073534 1597164894 1671328438 1735610301 2395747341 2506992657 3471220602 4306884821 4791494682 5013985314 7520977971 8613769642 12920654463 15041955942 22562933913 25841308926 38761963389 45125867826 55989502673 77523926778 111979005346 116285890167 167968508019 232571780334 335937016038 503905524057 1007811048114 1511716572171 3023433144342