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3055126743540 = 22325671098723057
BaseRepresentation
bin101100011101010011101…
…111101000100111110100
3101211001211000222000002100
4230131103233220213310
5400023344421243130
610255301132542100
7433503613563024
oct54352357504764
911731730860070
103055126743540
11a78743444063
1241412b921930
13192135776991
14a7c2447ba84
155470e228c60
hex2c753be89f4

3055126743540 has 144 divisors (see below), whose sum is σ = 9406798494912. Its totient is φ = 802432908288.

The previous prime is 3055126743527. The next prime is 3055126743547. The reversal of 3055126743540 is 453476215503.

3055126743540 is a `hidden beast` number, since 3 + 0 + 5 + 5 + 1 + 2 + 67 + 43 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3055126743547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132491692 + ... + 132514748.

It is an arithmetic number, because the mean of its divisors is an integer number (65324989548).

Almost surely, 23055126743540 is an apocalyptic number.

3055126743540 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 3055126743540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703399247456).

3055126743540 is an abundant number, since it is smaller than the sum of its proper divisors (6351671751372).

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

3055126743540 is a wasteful number, since it uses less digits than its factorization.

3055126743540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34126 (or 34121 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 3055126743540 in words is "three trillion, fifty-five billion, one hundred twenty-six million, seven hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 10987 12060 21974 23057 32961 43948 46114 54935 65922 69171 92228 98883 109870 115285 131844 138342 164805 197766 207513 219740 230570 276684 329610 345855 395532 415026 461140 494415 659220 691710 736129 830052 988830 1037565 1383420 1472258 1544819 1977660 2075130 2208387 2944516 3089638 3680645 4150260 4416774 4634457 6179276 6625161 7361290 7724095 8833548 9268914 11041935 13250322 13903371 14722580 15448190 18537828 22083870 23172285 26500644 27806742 30896380 33125805 44167740 46344570 55613484 66251610 69516855 92689140 132503220 139033710 253327259 278067420 506654518 759981777 1013309036 1266636295 1519963554 2279945331 2533272590 3039927108 3799908885 4559890662 5066545180 7599817770 9119781324 11399726655 15199635540 16972926353 22799453310 33945852706 45598906620 50918779059 67891705412 84864631765 101837558118 152756337177 169729263530 203675116236 254593895295 305512674354 339458527060 509187790590 611025348708 763781685885 1018375581180 1527563371770 3055126743540