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540053614044 = 2232731271255097
BaseRepresentation
bin1111101101111011011…
…01000010110111011100
31220121222021011010101100
413312331231002313130
532322012211122134
61052032555113100
754006013656330
oct7667555026734
91817867133340
10540053614044
1119904320556a
12887baa42790
133bc08352709
141c1d29897c0
15e0ac1aa999
hex7dbdb42ddc

540053614044 has 144 divisors (see below), whose sum is σ = 1616431538176. Its totient is φ = 148771987200.

The previous prime is 540053614019. The next prime is 540053614123. The reversal of 540053614044 is 440416350045.

540053614044 is a `hidden beast` number, since 5 + 40 + 0 + 536 + 1 + 40 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989504 + ... + 2244600.

Almost surely, 2540053614044 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 540053614044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808215769088).

540053614044 is an abundant number, since it is smaller than the sum of its proper divisors (1076377924132).

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

540053614044 is a wasteful number, since it uses less digits than its factorization.

540053614044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255416 (or 255411 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 540053614044 its reverse (440416350045), we get a palindrome (980469964089).

The spelling of 540053614044 in words is "five hundred forty billion, fifty-three million, six hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 271 279 372 434 542 558 651 813 868 1084 1116 1302 1626 1897 1953 2439 2604 3252 3794 3906 4878 5691 7588 7812 8401 9756 11382 16802 17073 22764 25203 33604 34146 50406 58807 68292 75609 100812 117614 151218 176421 235228 255097 302436 352842 510194 529263 705684 765291 1020388 1058526 1530582 1785679 2117052 2295873 3061164 3571358 4591746 5357037 7142716 7908007 9183492 10714074 15816014 16071111 21428148 23724021 31632028 32142222 47448042 55356049 64284444 69131287 71172063 94896084 110712098 138262574 142344126 166068147 207393861 221424196 276525148 284688252 332136294 414787722 483919009 498204441 622181583 664272588 829575444 967838018 996408882 1244363166 1451757027 1935676036 1992817764 2143069897 2488726332 2903514054 4286139794 4355271081 5807028108 6429209691 8572279588 8710542162 12858419382 15001489279 17421084324 19287629073 25716838764 30002978558 38575258146 45004467837 60005957116 77150516292 90008935674 135013403511 180017871348 270026807022 540053614044