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31401133440 = 273519185627
BaseRepresentation
bin11101001111101001…
…110100010110000000
310000001101202212010020
4131033221310112000
51003302142232230
622231523133440
72161102141665
oct351751642600
9100041685106
1031401133440
1112354137356
126104214280
132c6574c741
14173c573a6c
15c3bb44810
hex74fa74580

31401133440 has 128 divisors (see below), whose sum is σ = 100616325120. Its totient is φ = 8329697280.

The previous prime is 31401133417. The next prime is 31401133441. The reversal of 31401133440 is 4433110413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31401133440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401133441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323907 + ... + 409533.

It is an arithmetic number, because the mean of its divisors is an integer number (786065040).

Almost surely, 231401133440 is an apocalyptic number.

31401133440 is a gapful number since it is divisible by the number (30) 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 31401133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50308162560).

31401133440 is an abundant number, since it is smaller than the sum of its proper divisors (69215191680).

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

31401133440 is a wasteful number, since it uses less digits than its factorization.

31401133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85840 (or 85828 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31401133440 its reverse (4433110413), we get a palindrome (35834243853).

The spelling of 31401133440 in words is "thirty-one billion, four hundred one million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 320 382 384 480 573 640 764 955 960 1146 1528 1910 1920 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 12224 15280 18336 22920 24448 30560 36672 45840 61120 73344 85627 91680 122240 171254 183360 256881 342508 366720 428135 513762 685016 856270 1027524 1284405 1370032 1712540 2055048 2568810 2740064 3425080 4110096 5137620 5480128 6850160 8220192 10275240 10960256 13700320 16354757 16440384 20550480 27400640 32709514 32880768 41100960 49064271 54801280 65419028 81773785 82201920 98128542 130838056 163547570 164403840 196257084 245321355 261676112 327095140 392514168 490642710 523352224 654190280 785028336 981285420 1046704448 1308380560 1570056672 1962570840 2093408896 2616761120 3140113344 3925141680 5233522240 6280226688 7850283360 10467044480 15700566720 31401133440