Search a number
-
+
10455431040 = 273251815179
BaseRepresentation
bin10011011110011000…
…10011011110000000
3222222122201221001200
421233030103132000
5132403042243130
64445252101200
7520044461145
oct115714233600
928878657050
1010455431040
1144859000aa
122039604800
13ca81691b2
147128363cc
15412d70760
hex26f313780

10455431040 has 96 divisors (see below), whose sum is σ = 36103930200. Its totient is φ = 2788113408.

The previous prime is 10455430981. The next prime is 10455431047. The reversal of 10455431040 is 4013455401.

It is a happy number.

10455431040 is a `hidden beast` number, since 1 + 0 + 4 + 554 + 3 + 104 + 0 = 666.

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 = 10455430995 and 10455431013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10455431047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 901830 + ... + 913349.

Almost surely, 210455431040 is an apocalyptic number.

10455431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10455431040 is an abundant number, since it is smaller than the sum of its proper divisors (25648499160).

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

10455431040 is a wasteful number, since it uses less digits than its factorization.

10455431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815204 (or 1815189 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10455431040 its reverse (4013455401), we get a palindrome (14468886441).

The spelling of 10455431040 in words is "ten billion, four hundred fifty-five million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 1815179 3630358 5445537 7260716 9075895 10891074 14521432 16336611 18151790 21782148 27227685 29042864 32673222 36303580 43564296 54455370 58085728 65346444 72607160 81683055 87128592 108910740 116171456 130692888 145214320 163366110 174257184 217821480 232342912 261385776 290428640 326732220 348514368 435642960 522771552 580857280 653464440 697028736 871285920 1045543104 1161714560 1306928880 1742571840 2091086208 2613857760 3485143680 5227715520 10455431040