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234433557450 = 23552137140839
BaseRepresentation
bin1101101001010101010…
…1000011001111001010
3211102010002002122100000
43122111111003033022
512320104442314300
6255410340423430
722636324234221
oct3322525031712
9742102078300
10234433557450
11904716a45a4
12395273a7b76
1319151096541
14b4bd29bcb8
156171414c00
hex36955433ca

234433557450 has 144 divisors (see below), whose sum is σ = 657944763840. Its totient is φ = 62058856320.

The previous prime is 234433557409. The next prime is 234433557469. The reversal of 234433557450 is 54755334432.

It is a happy number.

234433557450 is a `hidden beast` number, since 2 + 3 + 4 + 43 + 3 + 557 + 4 + 50 = 666.

234433557450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 234433557396 and 234433557405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1594131 + ... + 1734969.

It is an arithmetic number, because the mean of its divisors is an integer number (4569060860).

Almost surely, 2234433557450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234433557450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328972381920).

234433557450 is an abundant number, since it is smaller than the sum of its proper divisors (423511206390).

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

234433557450 is a wasteful number, since it uses less digits than its factorization.

234433557450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141003 (or 140986 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 45.

The spelling of 234433557450 in words is "two hundred thirty-four billion, four hundred thirty-three million, five hundred fifty-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 137 150 162 225 243 270 274 405 411 450 486 675 685 810 822 1215 1233 1350 1370 2025 2055 2430 2466 3425 3699 4050 4110 6075 6165 6850 7398 10275 11097 12150 12330 18495 20550 22194 30825 33291 36990 55485 61650 66582 92475 110970 140839 166455 184950 277425 281678 332910 422517 554850 704195 832275 845034 1267551 1408390 1664550 2112585 2535102 3520975 3802653 4225170 6337755 7041950 7605306 10562925 11407959 12675510 19013265 19294943 21125850 22815918 31688775 34223877 38026530 38589886 57039795 57884829 63377550 68447754 95066325 96474715 114079590 115769658 171119385 173654487 190132650 192949430 285198975 289424145 342238770 347308974 482373575 520963461 570397950 578848290 855596925 868272435 964747150 1041926922 1447120725 1562890383 1711193850 1736544870 2604817305 2894241450 3125780766 4341362175 4688671149 5209634610 7814451915 8682724350 9377342298 13024086525 15628903830 23443355745 26048173050 39072259575 46886711490 78144519150 117216778725 234433557450