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531104445704340 = 2232524113219268033
BaseRepresentation
bin111100011000010010110001…
…1110100110010100010010100
32120122111002101222201100111200
41320300211203310302202110
51024103103401100014330
65121322003013232500
7216604013162213604
oct17060454364624224
92518432358640450
10531104445704340
11144254148810332
124b697724332730
1319a46c1b954291
1495218414c4c04
1541603a35dda60
hex1e30963d32894

531104445704340 has 144 divisors (see below), whose sum is σ = 1618926314141136. Its totient is φ = 140933401804800.

The previous prime is 531104445704317. The next prime is 531104445704377. The reversal of 531104445704340 is 43407544401135.

531104445704340 is a `hidden beast` number, since 5 + 3 + 1 + 1 + 0 + 4 + 44 + 570 + 4 + 34 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 129226967782416 + 401877477921924 = 11367804^2 + 20046882^2 .

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

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, 52670964 + ... + 61938996.

Almost surely, 2531104445704340 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 531104445704340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809463157070568).

531104445704340 is an abundant number, since it is smaller than the sum of its proper divisors (1087821868436796).

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

531104445704340 is a wasteful number, since it uses less digits than its factorization.

531104445704340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9269610 (or 9269605 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 531104445704340 in words is "five hundred thirty-one trillion, one hundred four billion, four hundred forty-five million, seven hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1321 1446 2169 2410 2642 2892 3615 3963 4338 4820 5284 6605 7230 7926 8676 10845 11889 13210 14460 15852 19815 21690 23778 26420 39630 43380 47556 59445 79260 118890 237780 318361 636722 955083 1273444 1591805 1910166 2865249 3183610 3820332 4775415 5730498 6367220 9268033 9550830 11460996 14326245 18536066 19101660 27804099 28652490 37072132 46340165 55608198 57304980 83412297 92680330 111216396 139020495 166824594 185360660 278040990 333649188 417061485 556081980 834122970 1668245940 2233595953 4467191906 6700787859 8934383812 11167979765 12243071593 13401575718 20102363577 22335959530 24486143186 26803151436 33503939295 36729214779 40204727154 44671919060 48972286372 61215357965 67007878590 73458429558 80409454308 100511817885 110187644337 122430715930 134015757180 146916859116 183646073895 201023635770 220375288674 244861431860 367292147790 402047271540 440750577348 550938221685 734584295580 1101876443370 2203752886740 2950580253913 5901160507826 8851740761739 11802321015652 14752901269565 17703481523478 26555222285217 29505802539130 35406963046956 44258703808695 53110444570434 59011605078260 88517407617390 106220889140868 132776111426085 177034815234780 265552222852170 531104445704340