Search a number
-
+
331114414440 = 233523911545133
BaseRepresentation
bin1001101000101111111…
…01010000000101101000
31011122122221012001100010
410310113331100011220
520411110242230230
6412040055011520
732631216041025
oct4642775200550
91148587161303
10331114414440
111184745003a7
1254209669ba0
13252bb050624
141205159c54c
15892e0699b0
hex4d17f50168

331114414440 has 64 divisors (see below), whose sum is σ = 997499577600. Its totient is φ = 87927725312.

The previous prime is 331114414403. The next prime is 331114414457. The reversal of 331114414440 is 44414411133.

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 = 331114414398 and 331114414407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5743887 + ... + 5801246.

It is an arithmetic number, because the mean of its divisors is an integer number (15585930900).

Almost surely, 2331114414440 is an apocalyptic number.

331114414440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331114414440 is an abundant number, since it is smaller than the sum of its proper divisors (666385163160).

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

331114414440 is a wasteful number, since it uses less digits than its factorization.

331114414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11545386 (or 11545382 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 331114414440 its reverse (44414411133), we get a palindrome (375528825573).

The spelling of 331114414440 in words is "three hundred thirty-one billion, one hundred fourteen million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2868 3585 4780 5736 7170 9560 14340 28680 11545133 23090266 34635399 46180532 57725665 69270798 92361064 115451330 138541596 173176995 230902660 277083192 346353990 461805320 692707980 1385415960 2759286787 5518573574 8277860361 11037147148 13796433935 16555720722 22074294296 27592867870 33111441444 41389301805 55185735740 66222882888 82778603610 110371471480 165557207220 331114414440