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505421614040 = 23574161371821
BaseRepresentation
bin1110101101011010111…
…10011100101111011000
31210022120200221020112112
413112231132130233120
531240100413122130
61024104255131452
751341550556310
oct7265536345730
91708520836475
10505421614040
11185391363362
1281b54813b88
1338879447c15
141a6692b4440
15d231abc495
hex75ad79cbd8

505421614040 has 128 divisors (see below), whose sum is σ = 1333544929920. Its totient is φ = 168782745600.

The previous prime is 505421614037. The next prime is 505421614067. The reversal of 505421614040 is 40416124505.

It is a junction number, because it is equal to n+sod(n) for n = 505421613988 and 505421614006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7001330 + ... + 7073150.

It is an arithmetic number, because the mean of its divisors is an integer number (10418319765).

Almost surely, 2505421614040 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 505421614040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666772464960).

505421614040 is an abundant number, since it is smaller than the sum of its proper divisors (828123315880).

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

505421614040 is a wasteful number, since it uses less digits than its factorization.

505421614040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72493 (or 72489 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 505421614040 its reverse (40416124505), we get a palindrome (545837738545).

The spelling of 505421614040 in words is "five hundred five billion, four hundred twenty-one million, six hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 613 820 1148 1226 1435 1640 2296 2452 2870 3065 4291 4904 5740 6130 8582 11480 12260 17164 21455 24520 25133 34328 42910 50266 71821 85820 100532 125665 143642 171640 175931 201064 251330 287284 351862 359105 502660 502747 574568 703724 718210 879655 1005320 1005494 1407448 1436420 1759310 2010988 2513735 2872840 2944661 3518620 4021976 5027470 5889322 7037240 10054940 11778644 14723305 20109880 20612627 23557288 29446610 41225254 44026273 58893220 82450508 88052546 103063135 117786440 164901016 176105092 206126270 220131365 308183911 352210184 412252540 440262730 616367822 824505080 880525460 1232735644 1540919555 1761050920 1805077193 2465471288 3081839110 3610154386 6163678220 7220308772 9025385965 12327356440 12635540351 14440617544 18050771930 25271080702 36101543860 50542161404 63177701755 72203087720 101084322808 126355403510 252710807020 505421614040