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5445040000 = 2754292347
BaseRepresentation
bin1010001001000110…
…01011011110000000
3112001110210200200011
411010203023132000
542122412240000
62300150034304
7251635035121
oct50443133600
915043720604
105445040000
112344646164
12107b648994
1368a10ca7a
1439922c048
1521d0652ba
hex1448cb780

5445040000 has 160 divisors (see below), whose sum is σ = 14028478200. Its totient is φ = 2102016000.

The previous prime is 5445039989. The next prime is 5445040031. The reversal of 5445040000 is 405445.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 2318827 + ... + 2321173.

Almost surely, 25445040000 is an apocalyptic number.

5445040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5445040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014239100).

5445040000 is an abundant number, since it is smaller than the sum of its proper divisors (8583438200).

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

5445040000 is an equidigital number, since it uses as much as digits as its factorization.

5445040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 5445040000 is about 73790.5142955380. The cubic root of 5445040000 is about 1759.2748389989.

Adding to 5445040000 its reverse (405445), we get a palindrome (5445445445).

The spelling of 5445040000 in words is "five billion, four hundred forty-five million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2347 2500 2900 3200 3625 3712 4000 4640 4694 5000 5800 7250 8000 9280 9388 10000 11600 11735 14500 16000 18125 18560 18776 20000 23200 23470 29000 36250 37552 40000 46400 46940 58000 58675 68063 72500 75104 80000 92800 93880 116000 117350 136126 145000 150208 187760 232000 234700 272252 290000 293375 300416 340315 375520 464000 469400 544504 580000 586750 680630 751040 938800 1089008 1160000 1173500 1361260 1466875 1502080 1701575 1877600 2178016 2320000 2347000 2722520 2933750 3403150 3755200 4356032 4694000 5445040 5867500 6806300 7510400 8507875 8712064 9388000 10890080 11735000 13612600 17015750 18776000 21780160 23470000 27225200 34031500 37552000 42539375 43560320 46940000 54450400 68063000 85078750 93880000 108900800 136126000 170157500 187760000 217801600 272252000 340315000 544504000 680630000 1089008000 1361260000 2722520000 5445040000