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55111210305440 = 25517173117118349
BaseRepresentation
bin11001000011111100101000…
…00111010000011110100000
321020010120200000002020212112
430201332110013100132200
524210420224314233230
6313113423540414452
714415440111243102
oct1441762407203640
9236116600066775
1055111210305440
1116618595520093
126220b089a7428
132499c709761b3
14d8757abc7572
1565888084cd95
hex321f941d07a0

55111210305440 has 96 divisors (see below), whose sum is σ = 138655946091600. Its totient is φ = 20627820396544.

The previous prime is 55111210305433. The next prime is 55111210305451. The reversal of 55111210305440 is 4450301211155.

It can be written as a sum of positive squares in 8 ways, for example, as 40590507460624 + 14520702844816 = 6371068^2 + 3810604^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 55111210305397 and 55111210305406.

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, 58088615 + ... + 59029734.

Almost surely, 255111210305440 is an apocalyptic number.

It is an amenable number.

55111210305440 is an abundant number, since it is smaller than the sum of its proper divisors (83544735786160).

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

55111210305440 is a wasteful number, since it uses less digits than its factorization.

55111210305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117118554 (or 117118546 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 55111210305440 its reverse (4450301211155), we get a palindrome (59561511516595).

The spelling of 55111210305440 in words is "fifty-five trillion, one hundred eleven billion, two hundred ten million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 173 272 340 346 544 680 692 865 1360 1384 1730 2720 2768 2941 3460 5536 5882 6920 11764 13840 14705 23528 27680 29410 47056 58820 94112 117640 235280 470560 117118349 234236698 468473396 585591745 936946792 1171183490 1873893584 1991011933 2342366980 3747787168 3982023866 4684733960 7964047732 9369467920 9955059665 15928095464 18738935840 19910119330 20261474377 31856190928 39820238660 40522948754 63712381856 79640477320 81045897508 101307371885 159280954640 162091795016 202614743770 318561909280 324183590032 344445064409 405229487540 648367180064 688890128818 810458975080 1377780257636 1620917950160 1722225322045 2755560515272 3241835900320 3444450644090 5511121030544 6888901288180 11022242061088 13777802576360 27555605152720 55111210305440