Search a number
-
+
45403523310400 = 2652191493536951
BaseRepresentation
bin10100101001011010101001…
…11000001110001101000000
312221202112102121100012222021
422110231110320032031000
521422342403431413100
6240322031325451224
712364203430253653
oct1224552470161500
9187675377305867
1045403523310400
1113515587272202
125113610110b14
131c446c2c087c8
14b2d783d2d89a
1553b0b32eaa1a
hex294b54e0e340

45403523310400 has 84 divisors (see below), whose sum is σ = 117601099600480. Its totient is φ = 17205545664000.

The previous prime is 45403523310319. The next prime is 45403523310413. The reversal of 45403523310400 is 401332530454.

It is a happy number.

It is a super-2 number, since 2×454035233104002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 746738076 + ... + 746798875.

Almost surely, 245403523310400 is an apocalyptic number.

45403523310400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45403523310400 is an abundant number, since it is smaller than the sum of its proper divisors (72197576290080).

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

45403523310400 is a wasteful number, since it uses less digits than its factorization.

45403523310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493536992 (or 1493536977 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 45403523310400 its reverse (401332530454), we get a palindrome (45804855840854).

The spelling of 45403523310400 in words is "forty-five trillion, four hundred three billion, five hundred twenty-three million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400 1493536951 2987073902 5974147804 7467684755 11948295608 14935369510 23896591216 28377202069 29870739020 37338423775 47793182432 56754404138 59741478040 74676847550 95586364864 113508808276 119482956080 141886010345 149353695100 227017616552 238965912160 283772020690 298707390200 454035233104 477931824320 567544041380 597414780400 709430051725 908070466208 1135088082760 1194829560800 1418860103450 1816140932416 2270176165520 2389659121600 2837720206900 4540352331040 5675440413800 9080704662080 11350880827600 22701761655200 45403523310400