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253445133040 = 24511717740129
BaseRepresentation
bin1110110000001010000…
…0011101001011110000
3220020012000201202012021
43230002200131023300
513123023423224130
6312233040441224
724211415041261
oct3540240351360
9806160652167
10253445133040
1198538196740
1241152319214
131ab90a57a58
14c3a41aa968
1568d54d937a
hex3b0281d2f0

253445133040 has 80 divisors (see below), whose sum is σ = 642934608480. Its totient is φ = 92146728960.

The previous prime is 253445132971. The next prime is 253445133041. The reversal of 253445133040 is 40331544352.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 253445132987 and 253445133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253445133041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6295696 + ... + 6335824.

It is an arithmetic number, because the mean of its divisors is an integer number (8036682606).

Almost surely, 2253445133040 is an apocalyptic number.

253445133040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253445133040 is an abundant number, since it is smaller than the sum of its proper divisors (389489475440).

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

253445133040 is a wasteful number, since it uses less digits than its factorization.

253445133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47330 (or 47324 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 253445133040 its reverse (40331544352), we get a palindrome (293776677392).

The spelling of 253445133040 in words is "two hundred fifty-three billion, four hundred forty-five million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 7177 14354 28708 35885 40129 57416 71770 78947 80258 114832 143540 157894 160516 200645 287080 315788 321032 394735 401290 441419 574160 631576 642064 789470 802580 882838 1263152 1578940 1605160 1765676 2207095 3157880 3210320 3531352 4414190 6315760 7062704 8828380 17656760 35313520 288005833 576011666 1152023332 1440029165 2304046664 2880058330 3168064163 4608093328 5760116660 6336128326 11520233320 12672256652 15840320815 23040466640 25344513304 31680641630 50689026608 63361283260 126722566520 253445133040