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31441024240 = 24512711292741
BaseRepresentation
bin11101010010000001…
…111111010011110000
310000011011211112000021
4131102001333103300
51003342400233430
622235510133224
72162065203463
oct352201772360
9100134745007
1031441024240
111237470295a
126115651214
132c70aa8672
1417439992da
15c403c407a
hex75207f4f0

31441024240 has 80 divisors (see below), whose sum is σ = 73768135680. Its totient is φ = 12461783040.

The previous prime is 31441024213. The next prime is 31441024283. The reversal of 31441024240 is 4242014413.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11469270 + ... + 11472010.

It is an arithmetic number, because the mean of its divisors is an integer number (922101696).

Almost surely, 231441024240 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 31441024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36884067840).

31441024240 is an abundant number, since it is smaller than the sum of its proper divisors (42327111440).

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

31441024240 is a wasteful number, since it uses less digits than its factorization.

31441024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 4004 counting only the distinct ones).

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

Adding to 31441024240 its reverse (4242014413), we get a palindrome (35683038653).

The spelling of 31441024240 in words is "thirty-one billion, four hundred forty-one million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1129 1270 2032 2258 2540 2741 4516 5080 5482 5645 9032 10160 10964 11290 13705 18064 21928 22580 27410 43856 45160 54820 90320 109640 143383 219280 286766 348107 573532 696214 716915 1147064 1392428 1433830 1740535 2294128 2784856 2867660 3094589 3481070 5569712 5735320 6189178 6962140 11470640 12378356 13924280 15472945 24756712 27848560 30945890 49513424 61891780 123783560 247567120 393012803 786025606 1572051212 1965064015 3144102424 3930128030 6288204848 7860256060 15720512120 31441024240