Search a number
-
+
238390735044 = 223711227784673
BaseRepresentation
bin1101111000000100110…
…0011111000011000100
3211210022212020002111010
43132001030133003010
512401211012010134
6301303140442220
723136354546150
oct3360114370304
9753285202433
10238390735044
119211239a700
123a2506a9370
1319631b73847
14b776a66060
156303a2bce9
hex378131f0c4

238390735044 has 144 divisors (see below), whose sum is σ = 701284970624. Its totient is φ = 61695406080.

The previous prime is 238390734961. The next prime is 238390735049. The reversal of 238390735044 is 440537093832.

238390735044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2383907350443 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 238390734984 and 238390735002.

It is not an unprimeable number, because it can be changed into a prime (238390735049) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2773092 + ... + 2857764.

Almost surely, 2238390735044 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 238390735044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350642485312).

238390735044 is an abundant number, since it is smaller than the sum of its proper divisors (462894235580).

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

238390735044 is a wasteful number, since it uses less digits than its factorization.

238390735044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84986 (or 84973 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 238390735044 in words is "two hundred thirty-eight billion, three hundred ninety million, seven hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 277 308 363 462 484 554 726 831 847 924 1108 1452 1662 1694 1939 2541 3047 3324 3388 3878 5082 5817 6094 7756 9141 10164 11634 12188 18282 21329 23268 33517 36564 42658 63987 67034 84673 85316 100551 127974 134068 169346 201102 234619 254019 255948 338692 402204 469238 508038 592711 703857 931403 938476 1016076 1185422 1407714 1778133 1862806 2370844 2794209 2815428 3556266 3725612 5588418 6519821 7112532 10245433 11176836 13039642 19559463 20490866 23454421 26079284 30736299 39118926 40981732 46908842 61472598 70363263 71718031 78237852 93817684 122945196 140726526 143436062 164180947 215154093 257998631 281453052 286872124 328361894 430308186 492542841 515997262 656723788 773995893 860616372 985085682 1031994524 1547991786 1805990417 1970171364 2837984941 3095983572 3611980834 5417971251 5675969882 7223961668 8513954823 10835942502 11351939764 17027909646 19865894587 21671885004 34055819292 39731789174 59597683761 79463578348 119195367522 238390735044