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455905451040 = 25351373061771
BaseRepresentation
bin1101010001001100001…
…01010001110000100000
31121120202211112112111120
412220212011101300200
524432143243413130
6545235020012240
744636522252124
oct6504605216040
91546684475446
10455905451040
111663918181a6
1274435991080
1333cb79c14a0
14180ccd2d584
15bcd494b910
hex6a26151c20

455905451040 has 96 divisors (see below), whose sum is σ = 1546571589696. Its totient is φ = 112222878720.

The previous prime is 455905450993. The next prime is 455905451101. The reversal of 455905451040 is 40154509554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 455905450983 and 455905451001.

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, 36524646 + ... + 36537125.

It is an arithmetic number, because the mean of its divisors is an integer number (16110120726).

Almost surely, 2455905451040 is an apocalyptic number.

455905451040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455905451040 is an abundant number, since it is smaller than the sum of its proper divisors (1090666138656).

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

455905451040 is a wasteful number, since it uses less digits than its factorization.

455905451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73061802 (or 73061794 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 455905451040 in words is "four hundred fifty-five billion, nine hundred five million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 73061771 146123542 219185313 292247084 365308855 438370626 584494168 730617710 876741252 949803023 1095926565 1168988336 1461235420 1753482504 1899606046 2191853130 2337976672 2849409069 2922470840 3506965008 3799212092 4383706260 4749015115 5698818138 5844941680 7013930016 7598424184 8767412520 9498030230 11397636276 11689883360 14247045345 15196848368 17534825040 18996060460 22795272552 28494090690 30393696736 35069650080 37992120920 45590545104 56988181380 75984241840 91181090208 113976362760 151968483680 227952725520 455905451040