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31425424000 = 27533595471
BaseRepresentation
bin11101010001000110…
…011110101010000000
310000010002110221111121
4131101012132222000
51003324402032000
622234151522024
72161515460645
oct352106365200
9100102427447
1031425424000
11123669181a3
126110389314
132c6a7a5a59
141741897dcc
15c3dd41b1a
hex75119ea80

31425424000 has 128 divisors (see below), whose sum is σ = 78363417600. Its totient is φ = 12532864000.

The previous prime is 31425423989. The next prime is 31425424027. The reversal of 31425424000 is 42452413.

It is a happy number.

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 (25).

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, 5741265 + ... + 5746735.

It is an arithmetic number, because the mean of its divisors is an integer number (612214200).

Almost surely, 231425424000 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 31425424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39181708800).

31425424000 is an abundant number, since it is smaller than the sum of its proper divisors (46937993600).

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

31425424000 is an equidigital number, since it uses as much as digits as its factorization.

31425424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 31425424000 its reverse (42452413), we get a palindrome (31467876413).

The spelling of 31425424000 in words is "thirty-one billion, four hundred twenty-five million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 359 400 500 640 718 800 1000 1436 1600 1795 2000 2872 3200 3590 4000 5471 5744 7180 8000 8975 10942 11488 14360 16000 17950 21884 22976 27355 28720 35900 43768 44875 45952 54710 57440 71800 87536 89750 109420 114880 136775 143600 175072 179500 218840 229760 273550 287200 350144 359000 437680 547100 574400 683875 700288 718000 875360 1094200 1148800 1367750 1436000 1750720 1964089 2188400 2735500 2872000 3501440 3928178 4376800 5471000 5744000 7856356 8753600 9820445 10942000 15712712 17507200 19640890 21884000 31425424 39281780 43768000 49102225 62850848 78563560 87536000 98204450 125701696 157127120 196408900 245511125 251403392 314254240 392817800 491022250 628508480 785635600 982044500 1257016960 1571271200 1964089000 3142542400 3928178000 6285084800 7856356000 15712712000 31425424000