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540541144990 = 257112226728151
BaseRepresentation
bin1111101110110101100…
…00110100111110011110
31220200020020112021010001
413313122300310332132
532324012013114430
61052153212404514
754024053631340
oct7673260647636
91820206467101
10540541144990
11199273425800
128891617673a
133bc85360172
141c23b617290
15e0d9dae3ca
hex7ddac34f9e

540541144990 has 96 divisors (see below), whose sum is σ = 1222830991872. Its totient is φ = 168400056000.

The previous prime is 540541144951. The next prime is 540541144991. The reversal of 540541144990 is 99441145045.

It is a self number, because there is not a number n which added to its sum of digits gives 540541144990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540541144991) 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, 19187415 + ... + 19215565.

It is an arithmetic number, because the mean of its divisors is an integer number (12737822832).

Almost surely, 2540541144990 is an apocalyptic number.

540541144990 is an abundant number, since it is smaller than the sum of its proper divisors (682289846882).

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

540541144990 is a wasteful number, since it uses less digits than its factorization.

540541144990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30454 (or 30443 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 540541144990 in words is "five hundred forty billion, five hundred forty-one million, one hundred forty-four thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 605 770 847 1210 1694 2267 4235 4534 8470 11335 15869 22670 24937 28151 31738 49874 56302 79345 124685 140755 158690 174559 197057 249370 274307 281510 309661 349118 394114 548614 619322 872795 985285 1371535 1548305 1745590 1920149 1970570 2167627 2743070 3096610 3406271 3840298 4335254 6812542 9600745 10838135 17031355 19201490 21676270 23843897 34062710 47687794 63818317 119219485 127636634 238438970 319091585 446728219 638183170 702001487 893456438 1404002974 2233641095 3510007435 4467282190 4914010409 7020014870 7722016357 9828020818 15444032714 24570052045 38610081785 49140104090 54054114499 77220163570 108108228998 270270572495 540541144990