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44211250000 = 2457113313
BaseRepresentation
bin101001001011001100…
…100010001101010000
311020010011021012110201
4221023030202031100
51211021040000000
632151012304544
73123411265411
oct511314421520
9136104235421
1044211250000
1117828109545
12869a312154
134227699a78
1421d59d1808
15123b58996a
hexa4b322350

44211250000 has 160 divisors (see below), whose sum is σ = 108366519456. Its totient is φ = 17472000000.

The previous prime is 44211249997. The next prime is 44211250019. The reversal of 44211250000 is 5211244.

It can be written as a sum of positive squares in 16 ways, for example, as 300304 + 44210949696 = 548^2 + 210264^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 44211250000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141249844 + ... + 141250156.

Almost surely, 244211250000 is an apocalyptic number.

44211250000 is a gapful number since it is divisible by the number (40) 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 44211250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54183259728).

44211250000 is an abundant number, since it is smaller than the sum of its proper divisors (64155269456).

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

44211250000 is an frugal number, since it uses more digits than its factorization.

44211250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 44211250000 its reverse (5211244), we get a palindrome (44216461244).

The spelling of 44211250000 in words is "forty-four billion, two hundred eleven million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 313 400 452 500 565 625 626 904 1000 1130 1250 1252 1565 1808 2000 2260 2500 2504 2825 3125 3130 4520 5000 5008 5650 6250 6260 7825 9040 10000 11300 12500 12520 14125 15625 15650 22600 25000 25040 28250 31250 31300 35369 39125 45200 50000 56500 62500 62600 70625 70738 78125 78250 113000 125000 125200 141250 141476 156250 156500 176845 195625 226000 250000 282500 282952 312500 313000 353125 353690 391250 565000 565904 625000 626000 706250 707380 782500 884225 978125 1130000 1250000 1412500 1414760 1565000 1765625 1768450 1956250 2825000 2829520 3130000 3531250 3536900 3912500 4421125 4890625 5650000 7062500 7073800 7825000 8828125 8842250 9781250 14125000 14147600 15650000 17656250 17684500 19562500 22105625 24453125 28250000 35312500 35369000 39125000 44211250 48906250 70625000 70738000 78250000 88422500 97812500 110528125 141250000 176845000 195625000 221056250 353690000 391250000 442112500 552640625 884225000 1105281250 1768450000 2210562500 2763203125 4421125000 5526406250 8842250000 11052812500 22105625000 44211250000