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5114408040 = 233457225503
BaseRepresentation
bin1001100001101011…
…11010110001101000
3111012102122211220000
410300311322301220
540433242024130
62203255303000
7240511515420
oct46065726150
914172584800
105114408040
112194a4a505
12ba897aa60
13636778461
14367363480
151ee005260
hex130d7ac68

5114408040 has 160 divisors (see below), whose sum is σ = 19645908480. Its totient is φ = 1169002368.

The previous prime is 5114408023. The next prime is 5114408081. The reversal of 5114408040 is 408044115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5114407995 and 5114408013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90072 + ... + 135431.

It is an arithmetic number, because the mean of its divisors is an integer number (122786928).

Almost surely, 25114408040 is an apocalyptic number.

It is an amenable number.

5114408040 is an abundant number, since it is smaller than the sum of its proper divisors (14531500440).

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

5114408040 is a wasteful number, since it uses less digits than its factorization.

5114408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225533 (or 225520 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5114408040 is about 71515.0895965320. The cubic root of 5114408040 is about 1722.9200488334.

The spelling of 5114408040 in words is "five billion, one hundred fourteen million, four hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 225503 451006 676509 902012 1127515 1353018 1578521 1804024 2029527 2255030 2706036 3157042 3382545 4059054 4510060 4735563 5412072 6088581 6314084 6765090 7892605 8118108 9020120 9471126 10147635 12177162 12628168 13530180 14206689 15785210 16236216 18265743 18942252 20295270 23677815 24354324 27060360 28413378 30442905 31570420 36531486 37884504 40590540 42620067 47355630 48708648 56826756 60885810 63140840 71033445 73062972 81181080 85240134 91328715 94711260 113653512 121771620 127860201 142066890 146125944 170480268 182657430 189422520 213100335 243543240 255720402 284133780 340960536 365314860 426200670 511440804 568267560 639301005 730629720 852401340 1022881608 1278602010 1704802680 2557204020 5114408040