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231411802440 = 233571321191557
BaseRepresentation
bin1101011110000100110…
…1111110000101001000
3211010022111010120201210
43113201031332011020
512242412410134230
6254150434013120
722501412602650
oct3274115760510
9733274116653
10231411802440
118a160a25305
1238a234171a0
1318a8c035b20
14b2b3c31360
156045ec4eb0
hex35e137e148

231411802440 has 128 divisors (see below), whose sum is σ = 854443618560. Its totient is φ = 48825345024.

The previous prime is 231411802361. The next prime is 231411802451. The reversal of 231411802440 is 44208114132.

231411802440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 231411802398 and 231411802407.

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 31 ways as a sum of consecutive naturals, for example, 10584859 + ... + 10606698.

It is an arithmetic number, because the mean of its divisors is an integer number (6675340770).

Almost surely, 2231411802440 is an apocalyptic number.

231411802440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231411802440 is an abundant number, since it is smaller than the sum of its proper divisors (623031816120).

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

231411802440 is a wasteful number, since it uses less digits than its factorization.

231411802440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21191591 (or 21191587 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 231411802440 its reverse (44208114132), we get a palindrome (275619916572).

The spelling of 231411802440 in words is "two hundred thirty-one billion, four hundred eleven million, eight hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 21191557 42383114 63574671 84766228 105957785 127149342 148340899 169532456 211915570 254298684 275490241 296681798 317873355 423831140 445022697 508597368 550980482 593363596 635746710 741704495 826470723 847662280 890045394 1101960964 1186727192 1271493420 1377451205 1483408990 1652941446 1780090788 1928431687 2203921928 2225113485 2542986840 2754902410 2966817980 3305882892 3560181576 3856863374 4132353615 4450226970 5509804820 5785295061 5933635960 6611765784 7713726748 8264707230 8900453940 9642158435 11019609640 11570590122 15427453496 16529414460 17800907880 19284316870 23141180244 28926475305 33058828920 38568633740 46282360488 57852950610 77137267480 115705901220 231411802440