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532055335140 = 223257795345141
BaseRepresentation
bin1111011111000001111…
…10000010000011100100
31212212022211222110101100
413233200332002003210
532204122131211030
61044231200200100
753303553505050
oct7574076020344
91785284873340
10532055335140
1119570940320a
1287148309030
133b232292ac4
141ba7460cc60
15dc8ee00360
hex7be0f820e4

532055335140 has 144 divisors (see below), whose sum is σ = 1867806420480. Its totient is φ = 120073224960.

The previous prime is 532055335129. The next prime is 532055335181. The reversal of 532055335140 is 41533550235.

532055335140 is a `hidden beast` number, since 5 + 32 + 0 + 5 + 533 + 51 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 532055335095 and 532055335104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2573031 + ... + 2772110.

It is an arithmetic number, because the mean of its divisors is an integer number (12970877920).

Almost surely, 2532055335140 is an apocalyptic number.

It is an amenable number.

532055335140 is an abundant number, since it is smaller than the sum of its proper divisors (1335751085340).

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

532055335140 is a wasteful number, since it uses less digits than its factorization.

532055335140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345242 (or 5345237 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 532055335140 its reverse (41533550235), we get a palindrome (573588885375).

It can be divided in two parts, 5320 and 55335140, that added together give a triangular number (55340460 = T10520).

The spelling of 532055335140 in words is "five hundred thirty-two billion, fifty-five million, three hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 79 84 90 105 126 140 158 180 210 237 252 315 316 395 420 474 553 630 711 790 948 1106 1185 1260 1422 1580 1659 2212 2370 2765 2844 3318 3555 4740 4977 5530 6636 7110 8295 9954 11060 14220 16590 19908 24885 33180 49770 99540 5345141 10690282 16035423 21380564 26725705 32070846 37415987 48106269 53451410 64141692 74831974 80177115 96212538 106902820 112247961 149663948 160354230 187079935 192425076 224495922 240531345 320708460 336743883 374159870 422266139 448991844 481062690 561239805 673487766 748319740 844532278 962125380 1122479610 1266798417 1346975532 1683719415 1689064556 2111330695 2244959220 2533596834 2955862973 3367438830 3800395251 4222661390 5067193668 5911725946 6333992085 6734877660 7600790502 8445322780 8867588919 11823451892 12667984170 14779314865 15201581004 17735177838 19001976255 25335968340 26602766757 29558629730 35470355676 38003952510 44337944595 53205533514 59117259460 76007905020 88675889190 106411067028 133013833785 177351778380 266027667570 532055335140