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31542040240 = 2452967202921
BaseRepresentation
bin11101011000000011…
…010101011010110000
310000102012220122220121
4131120003111122300
51004044230241430
622253515220024
72164432626664
oct353003253260
9100365818817
1031542040240
1112416728757
126143447614
132c889b6749
1417531728a4
15c491c9a7a
hex7580d56b0

31542040240 has 80 divisors (see below), whose sum is σ = 76996723680. Its totient is φ = 11999877120.

The previous prime is 31542040199. The next prime is 31542040289. The reversal of 31542040240 is 4204024513.

It is a happy number.

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

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, 53980 + ... + 256900.

It is an arithmetic number, because the mean of its divisors is an integer number (962459046).

Almost surely, 231542040240 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 31542040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38498361840).

31542040240 is an abundant number, since it is smaller than the sum of its proper divisors (45454683440).

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

31542040240 is a wasteful number, since it uses less digits than its factorization.

31542040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203030 (or 203024 counting only the distinct ones).

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

Adding to 31542040240 its reverse (4204024513), we get a palindrome (35746064753).

The spelling of 31542040240 in words is "thirty-one billion, five hundred forty-two million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 67 80 116 134 145 232 268 290 335 464 536 580 670 1072 1160 1340 1943 2320 2680 3886 5360 7772 9715 15544 19430 31088 38860 77720 155440 202921 405842 811684 1014605 1623368 2029210 3246736 4058420 5884709 8116840 11769418 13595707 16233680 23538836 27191414 29423545 47077672 54382828 58847090 67978535 94155344 108765656 117694180 135957070 217531312 235388360 271914140 394275503 470776720 543828280 788551006 1087656560 1577102012 1971377515 3154204024 3942755030 6308408048 7885510060 15771020120 31542040240