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32344143040 = 2651110190977
BaseRepresentation
bin11110000111110111…
…000111010011000000
310002111010012201002201
4132013313013103000
51012220100034130
622505251122544
72223342452056
oct360767072300
9102433181081
1032344143040
1112798475430
126327ba3454
133085c247a1
1417cb8c81d6
15c94819bca
hex787dc74c0

32344143040 has 112 divisors (see below), whose sum is σ = 84854088864. Its totient is φ = 11644928000.

The previous prime is 32344143037. The next prime is 32344143059. The reversal of 32344143040 is 4034144323.

It is a super-2 number, since 2×323441430402 (a number of 22 digits) contains 22 as substring.

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, 310032 + ... + 401008.

Almost surely, 232344143040 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 32344143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42427044432).

32344143040 is an abundant number, since it is smaller than the sum of its proper divisors (52509945824).

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

32344143040 is a wasteful number, since it uses less digits than its factorization.

32344143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91106 (or 91096 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 32344143040 its reverse (4034144323), we get a palindrome (36378287363).

The spelling of 32344143040 in words is "thirty-two billion, three hundred forty-four million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 160 176 202 220 320 352 404 440 505 704 808 880 1010 1111 1616 1760 2020 2222 3232 3520 4040 4444 5555 6464 8080 8888 11110 16160 17776 22220 32320 35552 44440 71104 88880 90977 177760 181954 355520 363908 454885 727816 909770 1000747 1455632 1819540 2001494 2911264 3639080 4002988 5003735 5822528 7278160 8005976 9188677 10007470 14556320 16011952 18377354 20014940 29112640 32023904 36754708 40029880 45943385 64047808 73509416 80059760 91886770 101075447 147018832 160119520 183773540 202150894 294037664 320239040 367547080 404301788 505377235 588075328 735094160 808603576 1010754470 1470188320 1617207152 2021508940 2940376640 3234414304 4043017880 6468828608 8086035760 16172071520 32344143040