Search a number
-
+
3542424242436 = 2233293121176943
BaseRepresentation
bin110011100011001000111…
…100000100100100000100
3110112122121122011210122000
4303203020330010210010
5431014341101224221
611311211153305300
7513634401146442
oct63431074044404
913478548153560
103542424242436
111146374152462
12492666865230
131c90840562c1
14c3650657b92
156222eac2e26
hex338c8f04904

3542424242436 has 144 divisors (see below), whose sum is σ = 9817125292800. Its totient is φ = 1103312508480.

The previous prime is 3542424242411. The next prime is 3542424242437. The reversal of 3542424242436 is 6342424242453.

3542424242436 is a `hidden beast` number, since 3 + 542 + 4 + 24 + 2 + 42 + 43 + 6 = 666.

It is a super-3 number, since 3×35424242424363 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3542424242391 and 3542424242400.

It is not an unprimeable number, because it can be changed into a prime (3542424242437) 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, 2421381 + ... + 3598323.

It is an arithmetic number, because the mean of its divisors is an integer number (68174481200).

Almost surely, 23542424242436 is an apocalyptic number.

3542424242436 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 3542424242436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908562646400).

3542424242436 is an abundant number, since it is smaller than the sum of its proper divisors (6274701050364).

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

3542424242436 is a wasteful number, since it uses less digits than its factorization.

3542424242436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177047 (or 1177008 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 45.

Adding to 3542424242436 its reverse (6342424242453), we get a palindrome (9884848484889).

The spelling of 3542424242436 in words is "three trillion, five hundred forty-two billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 87 93 108 116 124 174 186 261 279 348 372 522 558 783 837 899 961 1044 1116 1566 1674 1798 1922 2697 2883 3132 3348 3596 3844 5394 5766 8091 8649 10788 11532 16182 17298 24273 25947 27869 32364 34596 48546 51894 55738 83607 97092 103788 111476 167214 250821 334428 501642 752463 1003284 1176943 1504926 2353886 3009852 3530829 4707772 7061658 10592487 14123316 21184974 31777461 34131347 36485233 42369948 63554922 68262694 72970466 102394041 109455699 127109844 136525388 145940932 204788082 218911398 307182123 328367097 409576164 437822796 614364246 656734194 921546369 985101291 1058071757 1131042223 1228728492 1313468388 1843092738 1970202582 2116143514 2262084446 3174215271 3393126669 3686185476 3940405164 4232287028 4524168892 6348430542 6786253338 9522645813 10179380007 12696861084 13572506676 19045291626 20358760014 28567937439 30538140021 32800224467 38090583252 40717520028 57135874878 61076280042 65600448934 98400673401 114271749756 122152560084 131200897868 196801346802 295202020203 393602693604 590404040406 885606060609 1180808080812 1771212121218 3542424242436