Search a number
-
+
355000525140 = 223561149650971
BaseRepresentation
bin1010010101001111010…
…11100010000101010100
31020221022121010012021210
411022213223202011110
521304020113301030
6431030205141420
734435146450522
oct5124753420524
91227277105253
10355000525140
111276115a5958
1258974b5a870
1327626882241
1413279a2d312
15937b060bb0
hex52a7ae2154

355000525140 has 96 divisors (see below), whose sum is σ = 1017078652800. Its totient is φ = 92489817600.

The previous prime is 355000525063. The next prime is 355000525153. The reversal of 355000525140 is 41525000553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 355000525098 and 355000525107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219855 + ... + 870825.

It is an arithmetic number, because the mean of its divisors is an integer number (10594569300).

Almost surely, 2355000525140 is an apocalyptic number.

355000525140 is a gapful number since it is divisible by the number (30) 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 355000525140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508539326400).

355000525140 is an abundant number, since it is smaller than the sum of its proper divisors (662078127660).

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

355000525140 is a wasteful number, since it uses less digits than its factorization.

355000525140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651193 (or 651191 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

Adding to 355000525140 its reverse (41525000553), we get a palindrome (396525525693).

The spelling of 355000525140 in words is "three hundred fifty-five billion, five hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 149 183 244 298 305 366 447 596 610 732 745 894 915 1220 1490 1788 1830 2235 2980 3660 4470 8940 9089 18178 27267 36356 45445 54534 90890 109068 136335 181780 272670 545340 650971 1301942 1952913 2603884 3254855 3905826 6509710 7811652 9764565 13019420 19529130 39058260 39709231 79418462 96994679 119127693 158836924 193989358 198546155 238255386 290984037 387978716 397092310 476510772 484973395 581968074 595638465 794184620 969946790 1163936148 1191276930 1454920185 1939893580 2382553860 2909840370 5819680740 5916675419 11833350838 17750026257 23666701676 29583377095 35500052514 59166754190 71000105028 88750131285 118333508380 177500262570 355000525140