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5111414223432 = 2331189304171537
BaseRepresentation
bin100101001100001100000…
…0001110111001001001000
3200002122110020122002121220
41022120120001313021020
51132221134020122212
614512052402002040
71035200416015026
oct112303001671110
920078406562556
105111414223432
1116a0814090670
126a6762346320
132b100957c96a
14139572701716
158ce5da6d38c
hex4a618077248

5111414223432 has 128 divisors (see below), whose sum is σ = 14101685020800. Its totient is φ = 1530984857600.

The previous prime is 5111414223413. The next prime is 5111414223439. The reversal of 5111414223432 is 2343224141115.

It is a super-2 number, since 2×51114142234322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5111414223393 and 5111414223402.

It is not an unprimeable number, because it can be changed into a prime (5111414223439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71415568 + ... + 71487104.

It is an arithmetic number, because the mean of its divisors is an integer number (110169414225).

Almost surely, 25111414223432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5111414223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050842510400).

5111414223432 is an abundant number, since it is smaller than the sum of its proper divisors (8990270797368).

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

5111414223432 is a wasteful number, since it uses less digits than its factorization.

5111414223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74687 (or 74683 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

Adding to 5111414223432 its reverse (2343224141115), we get a palindrome (7454638364547).

The spelling of 5111414223432 in words is "five trillion, one hundred eleven billion, four hundred fourteen million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1958 2136 2937 3041 3916 5874 6082 7832 9123 11748 12164 18246 23496 24328 33451 36492 66902 71537 72984 100353 133804 143074 200706 214611 267608 270649 286148 401412 429222 541298 572296 786907 802824 811947 858444 1082596 1573814 1623894 1716888 2165192 2360721 2977139 3147628 3247788 4721442 5954278 6295256 6366793 6495576 8931417 9442884 11908556 12733586 17862834 18885768 19100379 23817112 25467172 35725668 38200758 50934344 70034723 71451336 76401516 140069446 152803032 210104169 217544017 280138892 420208338 435088034 560277784 652632051 840416676 870176068 1305264102 1680833352 1740352136 2392984187 2610528204 4785968374 5221056408 7178952561 9571936748 14357905122 19143873496 19361417513 28715810244 38722835026 57431620488 58084252539 77445670052 116168505078 154891340104 212975592643 232337010156 425951185286 464674020312 638926777929 851902370572 1277853555858 1703804741144 2555707111716 5111414223432