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22144123122440 = 23511371360204123
BaseRepresentation
bin1010000100011110101001…
…00101111011001100001000
32220101221212000101120001112
411002033110211323030020
510400302131004404230
6115032511505505452
74443601004610254
oct502172445731410
986357760346045
1022144123122440
1170682a722a970
12259781a042288
13c482496a99c7
14567ad1b7d264
15286045a2ad95
hex1423d497b308

22144123122440 has 64 divisors (see below), whose sum is σ = 55822777248960. Its totient is φ = 7834775742720.

The previous prime is 22144123122431. The next prime is 22144123122463. The reversal of 22144123122440 is 4422132144122.

It is a junction number, because it is equal to n+sod(n) for n = 22144123122397 and 22144123122406.

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, 680085782 + ... + 680118341.

It is an arithmetic number, because the mean of its divisors is an integer number (872230894515).

Almost surely, 222144123122440 is an apocalyptic number.

22144123122440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144123122440 is an abundant number, since it is smaller than the sum of its proper divisors (33678654126520).

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

22144123122440 is a wasteful number, since it uses less digits than its factorization.

22144123122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360204182 (or 1360204178 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 22144123122440 its reverse (4422132144122), we get a palindrome (26566255266562).

The spelling of 22144123122440 in words is "twenty-two trillion, one hundred forty-four billion, one hundred twenty-three million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 16280 1360204123 2720408246 5440816492 6801020615 10881632984 13602041230 14962245353 27204082460 29924490706 50327552551 54408164920 59848981412 74811226765 100655105102 119697962824 149622453530 201310210204 251637762755 299244907060 402620420408 503275525510 553603078061 598489814120 1006551051020 1107206156122 2013102102040 2214412312244 2768015390305 4428824624488 5536030780610 11072061561220 22144123122440