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213143431440 = 24356531360027
BaseRepresentation
bin1100011010000001010…
…1101010100100010000
3202101011022222011220110
43012200111222210100
511443004204301230
6241530003241320
721253615163052
oct3064025524420
9671138864813
10213143431440
1182436a01835
1235385379240
131713a330044
14a45d9058d2
1558272a94b0
hex31a056a910

213143431440 has 80 divisors (see below), whose sum is σ = 661756984128. Its totient is φ = 56751164928.

The previous prime is 213143431427. The next prime is 213143431481. The reversal of 213143431440 is 44134341312.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 213143431398 and 213143431407.

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, 523294 + ... + 836733.

Almost surely, 2213143431440 is an apocalyptic number.

213143431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213143431440 is an abundant number, since it is smaller than the sum of its proper divisors (448613552688).

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

213143431440 is a wasteful number, since it uses less digits than its factorization.

213143431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360696 (or 1360690 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 213143431440 its reverse (44134341312), we get a palindrome (257277772752).

The spelling of 213143431440 in words is "two hundred thirteen billion, one hundred forty-three million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 1306 1959 2612 3265 3918 5224 6530 7836 9795 10448 13060 15672 19590 26120 31344 39180 52240 78360 156720 1360027 2720054 4080081 5440108 6800135 8160162 10880216 13600270 16320324 20400405 21760432 27200540 32640648 40800810 54401080 65281296 81601620 108802160 163203240 326406480 888097631 1776195262 2664292893 3552390524 4440488155 5328585786 7104781048 8880976310 10657171572 13321464465 14209562096 17761952620 21314343144 26642928930 35523905240 42628686288 53285857860 71047810480 106571715720 213143431440