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552220141440 = 27351126146787
BaseRepresentation
bin10000000100100101110…
…00101010011110000000
31221210101011121202101010
420002102320222132000
533021421324011230
61101404134040520
754616346516562
oct10022270523600
91853334552333
10552220141440
111a3216967690
128b0354a9140
13400c6b51a56
141ca28755332
15e5703729b0
hex8092e2a780

552220141440 has 128 divisors (see below), whose sum is σ = 1920220110720. Its totient is φ = 133871544320.

The previous prime is 552220141409. The next prime is 552220141463. The reversal of 552220141440 is 44141022255.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5522201414402 (a number of 24 digits) contains 22 as substring.

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 = 552220141398 and 552220141407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13052274 + ... + 13094513.

It is an arithmetic number, because the mean of its divisors is an integer number (15001719615).

Almost surely, 2552220141440 is an apocalyptic number.

It is an amenable number.

552220141440 is an abundant number, since it is smaller than the sum of its proper divisors (1367999969280).

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

552220141440 is a wasteful number, since it uses less digits than its factorization.

552220141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26146820 (or 26146808 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 552220141440 its reverse (44141022255), we get a palindrome (596361163695).

The spelling of 552220141440 in words is "five hundred fifty-two billion, two hundred twenty million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 26146787 52293574 78440361 104587148 130733935 156880722 209174296 261467870 287614657 313761444 392201805 418348592 522935740 575229314 627522888 784403610 836697184 862843971 1045871480 1150458628 1255045776 1438073285 1568807220 1673394368 1725687942 2091742960 2300917256 2510091552 2876146570 3137614440 3346788736 3451375884 4183485920 4314219855 4601834512 5020183104 5752293140 6275228880 6902751768 8366971840 8628439710 9203669024 10040366208 11504586280 12550457760 13805503536 16733943680 17256879420 18407338048 23009172560 25100915520 27611007072 34513758840 36814676096 46018345120 50201831040 55222014144 69027517680 92036690240 110444028288 138055035360 184073380480 276110070720 552220141440