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45431043440 = 24517181184559
BaseRepresentation
bin101010010011111001…
…101011010101110000
311100021011112010111112
4222103321223111300
51221020321342230
632512024532452
73165552332456
oct522371532560
9140234463445
1045431043440
11182a37043a2
12897a921128
134390301633
1422ad9d49d6
1512ad6d4d95
hexa93e6b570

45431043440 has 80 divisors (see below), whose sum is σ = 112459052160. Its totient is φ = 17008865280.

The previous prime is 45431043439. The next prime is 45431043487. The reversal of 45431043440 is 4434013454.

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 = 45431043397 and 45431043406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153881 + ... + 338439.

It is an arithmetic number, because the mean of its divisors is an integer number (1405738152).

Almost surely, 245431043440 is an apocalyptic number.

45431043440 is a gapful number since it is divisible by the number (40) 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 45431043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56229526080).

45431043440 is an abundant number, since it is smaller than the sum of its proper divisors (67028008720).

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

45431043440 is a wasteful number, since it uses less digits than its factorization.

45431043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184770 (or 184764 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 45431043440 its reverse (4434013454), we get a palindrome (49865056894).

The spelling of 45431043440 in words is "forty-five billion, four hundred thirty-one million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 181 272 340 362 680 724 905 1360 1448 1810 2896 3077 3620 6154 7240 12308 14480 15385 24616 30770 49232 61540 123080 184559 246160 369118 738236 922795 1476472 1845590 2952944 3137503 3691180 6275006 7382360 12550012 14764720 15687515 25100024 31375030 33405179 50200048 62750060 66810358 125500120 133620716 167025895 251000240 267241432 334051790 534482864 567888043 668103580 1135776086 1336207160 2271552172 2672414320 2839440215 4543104344 5678880430 9086208688 11357760860 22715521720 45431043440