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34011124203040 = 2552017523120147
BaseRepresentation
bin1111011101110110101001…
…11110011111111000100000
311110102102122201112112012021
413232323110332133320200
513424214240243444130
6200200254511311224
710110136235513215
oct756732476377040
9143372581475167
1034011124203040
11a923044a43056
12399370081b514
1315c9309acb33a
1485820bc8bb0c
153dea926a937a
hex1eeed4f9fe20

34011124203040 has 96 divisors (see below), whose sum is σ = 80410477158144. Its totient is φ = 13594430545920.

The previous prime is 34011124202929. The next prime is 34011124203053. The reversal of 34011124203040 is 4030242111043.

It is a super-2 number, since 2×340111242030402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34011124202996 and 34011124203014.

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, 1688138247 + ... + 1688158393.

It is an arithmetic number, because the mean of its divisors is an integer number (837609137064).

Almost surely, 234011124203040 is an apocalyptic number.

It is an amenable number.

34011124203040 is an abundant number, since it is smaller than the sum of its proper divisors (46399352955104).

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

34011124203040 is a wasteful number, since it uses less digits than its factorization.

34011124203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27410 (or 27402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34011124203040 its reverse (4030242111043), we get a palindrome (38041366314083).

The spelling of 34011124203040 in words is "thirty-four trillion, eleven billion, one hundred twenty-four million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2017 4034 5231 8068 10085 10462 16136 20147 20170 20924 26155 32272 40294 40340 41848 52310 64544 80588 80680 83696 100735 104620 161176 161360 167392 201470 209240 322352 322720 402940 418480 644704 805880 836960 1611760 3223520 10550927 21101854 40636499 42203708 52754635 81272998 84407416 105388957 105509270 162545996 168814832 203182495 210777914 211018540 325091992 337629664 406364990 421555828 422037080 526944785 650183984 812729980 843111656 844074160 1053889570 1300367968 1625459960 1686223312 1688148320 2107779140 3250919920 3372446624 4215558280 6501839840 8431116560 16862233120 212569526269 425139052538 850278105076 1062847631345 1700556210152 2125695262690 3401112420304 4251390525380 6802224840608 8502781050760 17005562101520 34011124203040