Search a number
-
+
10045453440 = 273511475637
BaseRepresentation
bin10010101101100000…
…10111010010000000
3221221002021220112010
421112300113102000
5131033114002230
64340444532520
7503635642161
oct112660272200
927832256463
1010045453440
11429543a940
121b44251140
13c412432b9
146b41d5768
153dbd8a9b0
hex256c17480

10045453440 has 128 divisors (see below), whose sum is σ = 34930854720. Its totient is φ = 2435256320.

The previous prime is 10045453409. The next prime is 10045453489. The reversal of 10045453440 is 4435454001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100454534402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10045453398 and 10045453407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216699 + ... + 258938.

Almost surely, 210045453440 is an apocalyptic number.

10045453440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045453440 is an abundant number, since it is smaller than the sum of its proper divisors (24885401280).

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

10045453440 is a wasteful number, since it uses less digits than its factorization.

10045453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475670 (or 475658 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 10045453440 in words is "ten billion, forty-five million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 475637 951274 1426911 1902548 2378185 2853822 3805096 4756370 5232007 5707644 7134555 7610192 9512740 10464014 11415288 14269110 15220384 15696021 19025480 20928028 22830576 26160035 28538220 30440768 31392042 38050960 41856056 45661152 52320070 57076440 60881536 62784084 76101920 78480105 83712112 91322304 104640140 114152880 125568168 152203840 156960210 167424224 182644608 209280280 228305760 251136336 304407680 313920420 334848448 418560560 456611520 502272672 627840840 669696896 837121120 913223040 1004545344 1255681680 1674242240 2009090688 2511363360 3348484480 5022726720 10045453440