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110314402414040 = 2351167255850869
BaseRepresentation
bin11001000101010010010010…
…110001001111110111011000
3112110120221202101011020201102
4121011102102301033313120
5103424342344004222130
61030341423054410532
732143644505115426
oct3105222261176730
9473527671136642
10110314402414040
11321710912aa310
1210457806200a48
1349727acbb7246
141d35361b8c116
15cb47e64e3645
hex645492c4fdd8

110314402414040 has 96 divisors (see below), whose sum is σ = 274873407757200. Its totient is φ = 39515606127360.

The previous prime is 110314402414039. The next prime is 110314402414141. The reversal of 110314402414040 is 40414204413011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110314402413994 and 110314402414012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25950275 + ... + 29900594.

Almost surely, 2110314402414040 is an apocalyptic number.

110314402414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110314402414040 is an abundant number, since it is smaller than the sum of its proper divisors (164559005343160).

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

110314402414040 is a wasteful number, since it uses less digits than its factorization.

110314402414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55851025 (or 55850954 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 110314402414040 its reverse (40414204413011), we get a palindrome (150728606827051).

The spelling of 110314402414040 in words is "one hundred ten trillion, three hundred fourteen billion, four hundred two million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 3685 4489 5896 7370 8978 14740 17956 22445 29480 35912 44890 49379 89780 98758 179560 197516 246895 395032 493790 987580 1975160 55850869 111701738 223403476 279254345 446806952 558508690 614359559 1117017380 1228719118 2234034760 2457438236 3071797795 3742008223 4914876472 6143595590 7484016446 12287191180 14968032892 18710041115 24574382360 29936065784 37420082230 41162090453 74840164460 82324180906 149680328920 164648361812 205810452265 250714550941 329296723624 411620904530 501429101882 823241809060 1002858203764 1253572754705 1646483618120 2005716407528 2507145509410 2757860060351 5014291018820 5515720120702 10028582037640 11031440241404 13789300301755 22062880482808 27578600603510 55157201207020 110314402414040