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32144042233040 = 245457879213409
BaseRepresentation
bin1110100111100000111100…
…01110000000110011010000
311012210221101120102012111012
413103300132032000303100
513203121444302424130
6152210434045110052
76525221221565453
oct723603616006320
9135727346365435
1032144042233040
11a273236935541
123731892858328
1314c2229b5307a
147d1acc25349a
153ab2187e1995
hex1d3c1e380cd0

32144042233040 has 40 divisors (see below), whose sum is σ = 74898431971080. Its totient is φ = 12829482049536.

The previous prime is 32144042233033. The next prime is 32144042233231. The reversal of 32144042233040 is 4033224044123.

It can be written as a sum of positive squares in 4 ways, for example, as 11908655595664 + 20235386637376 = 3450892^2 + 4498376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 32144042232988 and 32144042233006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439570145 + ... + 439643264.

It is an arithmetic number, because the mean of its divisors is an integer number (1872460799277).

Almost surely, 232144042233040 is an apocalyptic number.

It is an amenable number.

32144042233040 is an abundant number, since it is smaller than the sum of its proper divisors (42754389738040).

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

32144042233040 is a wasteful number, since it uses less digits than its factorization.

32144042233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879213879 (or 879213873 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 32144042233040 its reverse (4033224044123), we get a palindrome (36177266277163).

The spelling of 32144042233040 in words is "thirty-two trillion, one hundred forty-four billion, forty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 457 914 1828 2285 3656 4570 7312 9140 18280 36560 879213409 1758426818 3516853636 4396067045 7033707272 8792134090 14067414544 17584268180 35168536360 70337072720 401800527913 803601055826 1607202111652 2009002639565 3214404223304 4018005279130 6428808446608 8036010558260 16072021116520 32144042233040