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331331055340 = 225437310694937
BaseRepresentation
bin1001101001001001101…
…11101010111011101100
31011200020000211112210011
410310210313222323230
520412031222232330
6412113354223004
732636456334115
oct4644467527354
91150200745704
10331331055340
1111857581996a
125426a124a64
1325323bb30cc
141207227320c
1589430ae82a
hex4d24deaeec

331331055340 has 96 divisors (see below), whose sum is σ = 722551072320. Its totient is φ = 127531708416.

The previous prime is 331331055317. The next prime is 331331055347. The reversal of 331331055340 is 43550133133.

It is a super-4 number, since 4×3313310553404 (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (331331055347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67109352 + ... + 67114288.

It is an arithmetic number, because the mean of its divisors is an integer number (7526573670).

Almost surely, 2331331055340 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 331331055340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361275536160).

331331055340 is an abundant number, since it is smaller than the sum of its proper divisors (391220016980).

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

331331055340 is a wasteful number, since it uses less digits than its factorization.

331331055340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6131 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 31.

Adding to 331331055340 its reverse (43550133133), we get a palindrome (374881188473).

The spelling of 331331055340 in words is "three hundred thirty-one billion, three hundred thirty-one million, fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 73 86 146 172 215 292 365 430 730 860 1069 1460 2138 3139 4276 4937 5345 6278 9874 10690 12556 15695 19748 21380 24685 31390 45967 49370 62780 78037 91934 98740 156074 183868 212291 229835 312148 360401 390185 424582 459670 720802 780370 849164 919340 1061455 1441604 1560740 1802005 2122910 3355591 3604010 4245820 5277653 6711182 7208020 10555306 13422364 15497243 16777955 21110612 26388265 30994486 33555910 52776530 61988972 67111820 77486215 105553060 154972430 226939079 309944860 385268669 453878158 770537338 907756316 1134695395 1541074676 1926343345 2269390790 3852686690 4538781580 7705373380 16566552767 33133105534 66266211068 82832763835 165665527670 331331055340