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21534354113440 = 2557210725670363
BaseRepresentation
bin1001110010101110110111…
…00001110000001110100000
32211020122221011102102112011
410321113123201300032200
510310304324123112230
6113444425023442304
74351543240551400
oct471273341601640
984218834372464
1021534354113440
116952739552313
1224b9603756394
13c028b0b7a3cc
145463a8304800
1527525822be2a
hex1395db8703a0

21534354113440 has 144 divisors (see below), whose sum is σ = 59734115576352. Its totient is φ = 7314204903936.

The previous prime is 21534354113429. The next prime is 21534354113479. The reversal of 21534354113440 is 4431145343512.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21534354113393 and 21534354113402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11996302 + ... + 13674061.

It is an arithmetic number, because the mean of its divisors is an integer number (414820247058).

Almost surely, 221534354113440 is an apocalyptic number.

21534354113440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21534354113440 is an abundant number, since it is smaller than the sum of its proper divisors (38199761462912).

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

21534354113440 is a wasteful number, since it uses less digits than its factorization.

21534354113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25670499 (or 25670484 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 21534354113440 its reverse (4431145343512), we get a palindrome (25965499456952).

The spelling of 21534354113440 in words is "twenty-one trillion, five hundred thirty-four billion, three hundred fifty-four million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 107 112 140 160 196 214 224 245 280 392 428 490 535 560 749 784 856 980 1070 1120 1498 1568 1712 1960 2140 2996 3424 3745 3920 4280 5243 5992 7490 7840 8560 10486 11984 14980 17120 20972 23968 26215 29960 41944 52430 59920 83888 104860 119840 167776 209720 419440 838880 25670363 51340726 102681452 128351815 179692541 205362904 256703630 359385082 410725808 513407260 718770164 821451616 898462705 1026814520 1257847787 1437540328 1796925410 2053629040 2515695574 2746728841 2875080656 3593850820 4107258080 5031391148 5493457682 5750161312 6289238935 7187701640 10062782296 10986915364 12578477870 13733644205 14375403280 19227101887 20125564592 21973830728 25156955740 27467288410 28750806560 38454203774 40251129184 43947661456 50313911480 54934576820 76908407548 87895322912 96135509435 100627822960 109869153640 134589713209 153816815096 192271018870 201255645920 219738307280 269179426418 307633630192 384542037740 439476614560 538358852836 615267260384 672948566045 769084075480 1076717705672 1345897132090 1538168150960 2153435411344 2691794264180 3076336301920 4306870822688 5383588528360 10767177056720 21534354113440