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314405332140 = 223519826333377
BaseRepresentation
bin1001001001101000000…
…01001010010010101100
31010001112110002201111010
410210310001022102230
520122400231112030
6400234045225220
731500154141254
oct4446401122254
91101473081433
10314405332140
1111137a682579
1250b25862210
13238573c8093
14113083aa964
1582a21aa6b0
hex493404a4ac

314405332140 has 96 divisors (see below), whose sum is σ = 926808261120. Its totient is φ = 79416723456.

The previous prime is 314405332091. The next prime is 314405332169. The reversal of 314405332140 is 41233504413.

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 = 314405332098 and 314405332107.

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, 9403132 + ... + 9436508.

It is an arithmetic number, because the mean of its divisors is an integer number (9654252720).

Almost surely, 2314405332140 is an apocalyptic number.

314405332140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314405332140 is an abundant number, since it is smaller than the sum of its proper divisors (612402928980).

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

314405332140 is a wasteful number, since it uses less digits than its factorization.

314405332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41671 (or 41669 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 314405332140 its reverse (41233504413), we get a palindrome (355638836553).

The spelling of 314405332140 in words is "three hundred fourteen billion, four hundred five million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 8263 16526 24789 33052 33377 41315 49578 66754 82630 99156 100131 123945 133508 156997 165260 166885 200262 247890 313994 333770 400524 470991 495780 500655 627988 634163 667540 784985 941982 1001310 1268326 1569970 1883964 1902489 2002620 2354955 2536652 3139940 3170815 3804978 4709910 6341630 7609956 9419820 9512445 12683260 19024890 38049780 275794151 551588302 827382453 1103176604 1378970755 1654764906 2757941510 3309529812 4136912265 5240088869 5515883020 8273824530 10480177738 15720266607 16547649060 20960355476 26200444345 31440533214 52400888690 62881066428 78601333035 104801777380 157202666070 314405332140