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520053403440 = 243519313678929
BaseRepresentation
bin1111001000101011001…
…10010010111100110000
31211201100102020011020110
413210111212102330300
532010032132402230
61034524221141320
752400256664404
oct7442546227460
91751312204213
10520053403440
1119060a65229a
12849589ba840
133a06b902c7c
141b25664b104
15d7db3ec4b0
hex7915992f30

520053403440 has 160 divisors (see below), whose sum is σ = 1751759308800. Its totient is φ = 127143751680.

The previous prime is 520053403399. The next prime is 520053403453. The reversal of 520053403440 is 44304350025.

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 = 520053403398 and 520053403407.

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, 1698105 + ... + 1980824.

It is an arithmetic number, because the mean of its divisors is an integer number (10948495680).

Almost surely, 2520053403440 is an apocalyptic number.

It is an amenable number.

520053403440 is an abundant number, since it is smaller than the sum of its proper divisors (1231705905360).

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

520053403440 is a wasteful number, since it uses less digits than its factorization.

520053403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678995 (or 3678989 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 520053403440 its reverse (44304350025), we get a palindrome (564357753465).

The spelling of 520053403440 in words is "five hundred twenty billion, fifty-three million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1140 1178 1240 1488 1520 1767 1860 2280 2356 2480 2945 3534 3720 4560 4712 5890 7068 7440 8835 9424 11780 14136 17670 23560 28272 35340 47120 70680 141360 3678929 7357858 11036787 14715716 18394645 22073574 29431432 36789290 44147148 55183935 58862864 69899651 73578580 88294296 110367870 114046799 139799302 147157160 176588592 209698953 220735740 228093598 279598604 294314320 342140397 349498255 419397906 441471480 456187196 559197208 570233995 684280794 698996510 838795812 882942960 912374392 1048494765 1118394416 1140467990 1368561588 1397993020 1677591624 1710701985 1824748784 2096989530 2166889181 2280935980 2737123176 2795986040 3355183248 3421403970 4193979060 4333778362 4561871960 5474246352 5591972080 6500667543 6842807940 8387958120 8667556724 9123743920 10834445905 13001335086 13685615880 16775916240 17335113448 21668891810 26002670172 27371231760 32503337715 34670226896 43337783620 52005340344 65006675430 86675567240 104010680688 130013350860 173351134480 260026701720 520053403440