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400144413004 = 227349361711321
BaseRepresentation
bin1011101001010100111…
…01110011000101001100
31102020211202022022101121
411310222131303011030
523023443432204004
6503453535250324
740623644251120
oct5645235630514
91366752268347
10400144413004
111447780a8a96
12656736799a4
132b96c53221b
141551d435580
15a61e422854
hex5d2a77314c

400144413004 has 48 divisors (see below), whose sum is σ = 802874721600. Its totient is φ = 170936709120.

The previous prime is 400144412923. The next prime is 400144413007. The reversal of 400144413004 is 400314441004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 400144413004.

It is not an unprimeable number, because it can be changed into a prime (400144413007) 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, 35339664 + ... + 35350984.

It is an arithmetic number, because the mean of its divisors is an integer number (16726556700).

Almost surely, 2400144413004 is an apocalyptic number.

It is an amenable number.

400144413004 is an abundant number, since it is smaller than the sum of its proper divisors (402730308596).

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

400144413004 is a wasteful number, since it uses less digits than its factorization.

400144413004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15298 (or 15296 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 400144413004 its reverse (400314441004), we get a palindrome (800458854008).

The spelling of 400144413004 in words is "four hundred billion, one hundred forty-four million, four hundred thirteen thousand, four".

Divisors: 1 2 4 7 14 28 349 698 1396 2443 3617 4886 7234 9772 11321 14468 22642 25319 45284 50638 79247 101276 158494 316988 1262333 2524666 3951029 5049332 7902058 8836331 15804116 17672662 27657203 35345324 40948057 55314406 81896114 110628812 163792228 286636399 573272798 1146545596 14290871893 28581743786 57163487572 100036103251 200072206502 400144413004