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54432214040 = 2353743185333
BaseRepresentation
bin110010101100011010…
…011010110000011000
312012111110210222021102
4302230122122300120
51342434121322130
641001131130532
73634611120401
oct625432326030
9165443728242
1054432214040
11210a2625066
12a6712a3a48
1351960a1699
1428c52329a8
151638a43645
hexcac69ac18

54432214040 has 64 divisors (see below), whose sum is σ = 126075864960. Its totient is φ = 21135029760.

The previous prime is 54432214033. The next prime is 54432214061. The reversal of 54432214040 is 4041223445.

It is a junction number, because it is equal to n+sod(n) for n = 54432213994 and 54432214012.

It is a congruent number.

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, 595214 + ... + 680546.

It is an arithmetic number, because the mean of its divisors is an integer number (1969935390).

Almost surely, 254432214040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54432214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63037932480).

54432214040 is an abundant number, since it is smaller than the sum of its proper divisors (71643650920).

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

54432214040 is a wasteful number, since it uses less digits than its factorization.

54432214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85812 (or 85808 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 54432214040 its reverse (4041223445), we get a palindrome (58473437485).

The spelling of 54432214040 in words is "fifty-four billion, four hundred thirty-two million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 431 740 862 1480 1724 2155 3448 4310 8620 15947 17240 31894 63788 79735 85333 127576 159470 170666 318940 341332 426665 637880 682664 853330 1706660 3157321 3413320 6314642 12629284 15786605 25258568 31573210 36778523 63146420 73557046 126292840 147114092 183892615 294228184 367785230 735570460 1360805351 1471140920 2721610702 5443221404 6804026755 10886442808 13608053510 27216107020 54432214040