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31444033400 = 23521393712907
BaseRepresentation
bin11101010010001101…
…011101111101111000
310000011101111101210122
4131102031131331320
51003344133032100
622240054432412
72162132605523
oct352215357570
9100141441718
1031444033400
111237637876a
126116662708
132c715c0230
14174413dbba
15c407ba985
hex75235df78

31444033400 has 96 divisors (see below), whose sum is σ = 78821153040. Its totient is φ = 11596815360.

The previous prime is 31444033393. The next prime is 31444033403. The reversal of 31444033400 is 433044413.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 31444033400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444033403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429747 + ... + 2442653.

Almost surely, 231444033400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31444033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39410576520).

31444033400 is an abundant number, since it is smaller than the sum of its proper divisors (47377119640).

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

31444033400 is a wasteful number, since it uses less digits than its factorization.

31444033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873 (or 13864 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 31444033400 its reverse (433044413), we get a palindrome (31877077813).

The spelling of 31444033400 in words is "thirty-one billion, four hundred forty-four million, thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 937 1300 1874 2600 3748 4685 7496 9370 12181 12907 18740 23425 24362 25814 37480 46850 48724 51628 60905 64535 93700 97448 103256 121810 129070 167791 187400 243620 258140 304525 322675 335582 487240 516280 609050 645350 671164 838955 1218100 1290700 1342328 1677910 2436200 2581400 3355820 4194775 6711640 8389550 12093859 16779100 24187718 33558200 48375436 60469295 96750872 120938590 157220167 241877180 302346475 314440334 483754360 604692950 628880668 786100835 1209385900 1257761336 1572201670 2418771800 3144403340 3930504175 6288806680 7861008350 15722016700 31444033400