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260141026140 = 223351310936749
BaseRepresentation
bin1111001001000110011…
…1010000101101011100
3220212110200020100202000
43302101213100231130
513230232100314030
6315301313002300
724536352144432
oct3622147205534
9825420210660
10260141026140
11a0363911296
1242500853390
131b6ba055788
14c83b5a4d52
156b78282860
hex3c919d0b5c

260141026140 has 96 divisors (see below), whose sum is σ = 809411400000. Its totient is φ = 69363760896.

The previous prime is 260141026133. The next prime is 260141026147. The reversal of 260141026140 is 41620141062.

260141026140 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 41 + 0 + 2 + 614 + 0 = 666.

260141026140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260141026133) and next prime (260141026147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260141026147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7060486 + ... + 7097234.

It is an arithmetic number, because the mean of its divisors is an integer number (8431368750).

Almost surely, 2260141026140 is an apocalyptic number.

260141026140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260141026140 is an abundant number, since it is smaller than the sum of its proper divisors (549270373860).

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

260141026140 is a wasteful number, since it uses less digits than its factorization.

260141026140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49876 (or 49868 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 260141026140 in words is "two hundred sixty billion, one hundred forty-one million, twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 13109 26218 36749 39327 52436 65545 73498 78654 110247 117981 131090 146996 157308 183745 196635 220494 235962 262180 330741 353943 367490 393270 440988 471924 551235 589905 661482 707886 734980 786540 992223 1102470 1179810 1322964 1415772 1653705 1769715 1984446 2204940 2359620 3307410 3539430 3968892 4961115 6614820 7078860 9922230 19844460 481742641 963485282 1445227923 1926970564 2408713205 2890455846 4335683769 4817426410 5780911692 7226139615 8671367538 9634852820 13007051307 14452279230 17342735076 21678418845 26014102614 28904558460 43356837690 52028205228 65035256535 86713675380 130070513070 260141026140