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401144322000 = 2435366857387
BaseRepresentation
bin1011101011001100001…
…00001001011111010000
31102100102102210221200010
411311212010021133100
523033020421301000
6504141054554520
740660505322522
oct5654604113720
91370372727603
10401144322000
1114514056a464
12658b2508a40
132ba9b739b56
14155b615ba12
15a67c0d6d50
hex5d661097d0

401144322000 has 80 divisors (see below), whose sum is σ = 1293289313472. Its totient is φ = 106971817600.

The previous prime is 401144321999. The next prime is 401144322001. The reversal of 401144322000 is 223441104.

It is an interprime number because it is at equal distance from previous prime (401144321999) and next prime (401144322001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401144322001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33422694 + ... + 33434693.

Almost surely, 2401144322000 is an apocalyptic number.

401144322000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401144322000 is an abundant number, since it is smaller than the sum of its proper divisors (892144991472).

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

401144322000 is a wasteful number, since it uses less digits than its factorization.

401144322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66857413 (or 66857397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 401144322000 its reverse (223441104), we get a palindrome (401367763104).

The spelling of 401144322000 in words is "four hundred one billion, one hundred forty-four million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 66857387 133714774 200572161 267429548 334286935 401144322 534859096 668573870 802288644 1002860805 1069718192 1337147740 1604577288 1671434675 2005721610 2674295480 3209154576 3342869350 4011443220 5014304025 5348590960 6685738700 8022886440 8357173375 10028608050 13371477400 16045772880 16714346750 20057216100 25071520125 26742954800 33428693500 40114432200 50143040250 66857387000 80228864400 100286080500 133714774000 200572161000 401144322000