Search a number
-
+
311242401432 = 233219941295261
BaseRepresentation
bin1001000011101110111…
…11100010011010011000
31002202101000111012020100
410201313133202122120
520044411023321212
6354552140455400
731325606522034
oct4416737423230
91082330435210
10311242401432
1110aaa7248956
12503a254a560
1323472038151
14110c82b11c4
158169680bdc
hex48777e2698

311242401432 has 96 divisors (see below), whose sum is σ = 847550340000. Its totient is φ = 103181506560.

The previous prime is 311242401359. The next prime is 311242401497. The reversal of 311242401432 is 234104242113.

311242401432 is a `hidden beast` number, since 3 + 11 + 242 + 401 + 4 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 311242401396 and 311242401405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59157682 + ... + 59162942.

It is an arithmetic number, because the mean of its divisors is an integer number (8828649375).

Almost surely, 2311242401432 is an apocalyptic number.

It is an amenable number.

311242401432 is an abundant number, since it is smaller than the sum of its proper divisors (536307938568).

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

311242401432 is a wasteful number, since it uses less digits than its factorization.

311242401432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9601 (or 9594 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 311242401432 its reverse (234104242113), we get a palindrome (545346643545).

The spelling of 311242401432 in words is "three hundred eleven billion, two hundred forty-two million, four hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4129 4776 5261 7164 8258 10522 12387 14328 15783 16516 21044 24774 31566 33032 37161 42088 47349 49548 63132 74322 94698 99096 126264 148644 189396 297288 378792 821671 1046939 1643342 2093878 2465013 3140817 3286684 4187756 4930026 6281634 6573368 7395039 8375512 9422451 9860052 12563268 14790078 18844902 19720104 21722669 25126536 29580156 37689804 43445338 59160312 65168007 75379608 86890676 130336014 173781352 195504021 260672028 391008042 521344056 782016084 1564032168 4322811131 8645622262 12968433393 17291244524 25936866786 34582489048 38905300179 51873733572 77810600358 103747467144 155621200716 311242401432