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35312131245640 = 23517102150861513
BaseRepresentation
bin10000000011101101111110…
…00010100000011001001000
311122000210210010211001011111
420001312333002200121020
514112023221044330030
6203034100311340104
710303134350100064
oct1001667702403110
9148023703731144
1035312131245640
1110284877559257
123b63889381634
131691bc572a372
148a118b098aa4
15413839c0262a
hex201dbf0a0648

35312131245640 has 64 divisors (see below), whose sum is σ = 84208357038960. Its totient is φ = 13280958013440.

The previous prime is 35312131245637. The next prime is 35312131245647. The reversal of 35312131245640 is 4654213121353.

It can be written as a sum of positive squares in 8 ways, for example, as 12610012919364 + 22702118326276 = 3551058^2 + 4764674^2 .

It is a super-2 number, since 2×353121312456402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 35312131245593 and 35312131245602.

It is not an unprimeable number, because it can be changed into a prime (35312131245647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24736477 + ... + 26125036.

Almost surely, 235312131245640 is an apocalyptic number.

It is an amenable number.

35312131245640 is an abundant number, since it is smaller than the sum of its proper divisors (48896225793320).

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

35312131245640 is a wasteful number, since it uses less digits than its factorization.

35312131245640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50862562 (or 50862558 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 35312131245640 its reverse (4654213121353), we get a palindrome (39966344366993).

The spelling of 35312131245640 in words is "thirty-five trillion, three hundred twelve billion, one hundred thirty-one million, two hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1021 2042 4084 5105 8168 10210 17357 20420 34714 40840 69428 86785 138856 173570 347140 694280 50861513 101723026 203446052 254307565 406892104 508615130 864645721 1017230260 1729291442 2034460520 3458582884 4323228605 6917165768 8646457210 17292914420 34585828840 51929604773 103859209546 207718419092 259648023865 415436838184 519296047730 882803281141 1038592095460 1765606562282 2077184190920 3531213124564 4414016405705 7062426249128 8828032811410 17656065622820 35312131245640