Search a number
-
+
332334115340004 = 2232412811169968491
BaseRepresentation
bin100101110010000011001000…
…0111001000011111011100100
31121120200211102220110001121200
41023210012100321003323210
5322024430232011340004
63134452103535442500
7130000230121204461
oct11344062071037344
91546624386401550
10332334115340004
119698a11a1a4528
12313346b2986430
1311358c84a7563b
145c0d0b25d8668
152864b8dd58239
hex12e4190e43ee4

332334115340004 has 144 divisors (see below), whose sum is σ = 863705133345600. Its totient is φ = 107680745088000.

The previous prime is 332334115339987. The next prime is 332334115340057. The reversal of 332334115340004 is 400043511433233.

332334115340004 is a `hidden beast` number, since 3 + 3 + 233 + 4 + 1 + 15 + 3 + 400 + 0 + 4 = 666.

It is a super-2 number, since 2×3323341153400042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4852196199 + ... + 4852264689.

It is an arithmetic number, because the mean of its divisors is an integer number (5997952314900).

Almost surely, 2332334115340004 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 332334115340004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431852566672800).

332334115340004 is an abundant number, since it is smaller than the sum of its proper divisors (531371018005596).

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

332334115340004 is a wasteful number, since it uses less digits than its factorization.

332334115340004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80522 (or 80517 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 332334115340004 its reverse (400043511433233), we get a palindrome (732377626773237).

The spelling of 332334115340004 in words is "three hundred thirty-two trillion, three hundred thirty-four billion, one hundred fifteen million, three hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 281 369 492 562 738 843 1124 1476 1686 2529 3372 5058 10116 11521 11699 23042 23398 34563 35097 46084 46796 68491 69126 70194 103689 105291 136982 138252 140388 205473 207378 210582 273964 410946 414756 421164 479659 616419 821892 959318 1232838 1438977 1918636 2465676 2808131 2877954 3287419 4316931 5616262 5755908 6574838 8424393 8633862 9862257 11232524 13149676 16848786 17267724 19245971 19724514 25273179 29586771 33697572 38491942 39449028 50546358 57737913 59173542 76983884 101092716 115475826 118347084 134784179 173213739 230951652 269568358 346427478 404352537 539136716 692854956 789084811 801276209 808705074 1213057611 1578169622 1602552418 1617410148 2367254433 2403828627 2426115222 3156339244 3205104836 4734508866 4807657254 4852230444 7101763299 7211485881 9469017732 9615314508 14203526598 14422971762 28407053196 28845943524 32852324569 65704649138 98556973707 131409298276 197113947414 225158614729 295670921121 394227894828 450317229458 591341842242 675475844187 900634458916 1182683684484 1350951688374 2026427532561 2701903376748 4052855065122 8105710130244 9231503203889 18463006407778 27694509611667 36926012815556 55389019223334 83083528835001 110778038446668 166167057670002 332334115340004