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102243434440 = 235710921115877
BaseRepresentation
bin101111100111000101…
…1101111111111001000
3100202220112001121202011
41133032023233333020
53133343304400230
6114545303345304
710246454565460
oct1371613577710
9322815047664
10102243434440
113a3a7831654
1217995152234
13984553ac44
144d3cda6ba0
1529d6185e2a
hex17ce2effc8

102243434440 has 128 divisors (see below), whose sum is σ = 266597971200. Its totient is φ = 34566497280.

The previous prime is 102243434369. The next prime is 102243434521. The reversal of 102243434440 is 44434342201.

102243434440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022434344402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6431782 + ... + 6447658.

It is an arithmetic number, because the mean of its divisors is an integer number (2082796650).

Almost surely, 2102243434440 is an apocalyptic number.

102243434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102243434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133298985600).

102243434440 is an abundant number, since it is smaller than the sum of its proper divisors (164354536760).

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

102243434440 is a wasteful number, since it uses less digits than its factorization.

102243434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16215 (or 16211 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 102243434440 its reverse (44434342201), we get a palindrome (146677776641).

The spelling of 102243434440 in words is "one hundred two billion, two hundred forty-three million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 211 218 280 422 436 545 763 844 872 1055 1090 1477 1526 1688 2110 2180 2954 3052 3815 4220 4360 5908 6104 7385 7630 8440 11816 14770 15260 15877 22999 29540 30520 31754 45998 59080 63508 79385 91996 111139 114995 127016 158770 160993 183992 222278 229990 317540 321986 444556 459980 555695 635080 643972 804965 889112 919960 1111390 1287944 1609930 1730593 2222780 3219860 3350047 3461186 4445560 6439720 6700094 6922372 8652965 12114151 13400188 13844744 16750235 17305930 23450329 24228302 26800376 33500470 34611860 46900658 48456604 60570755 67000940 69223720 93801316 96913208 117251645 121141510 134001880 187602632 234503290 242283020 365155123 469006580 484566040 730310246 938013160 1460620492 1825775615 2556085861 2921240984 3651551230 5112171722 7303102460 10224343444 12780429305 14606204920 20448686888 25560858610 51121717220 102243434440