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5440542160 = 2453137211281
BaseRepresentation
bin1010001000100100…
…00001010111010000
3112001011100011210111
411010102001113100
542120234322120
62255505411104
7251551562644
oct50422012720
915034304714
105440542160
112342053939
12107a039a94
136891c6721
143987bac24
1521c97775a
hex1444815d0

5440542160 has 160 divisors (see below), whose sum is σ = 13521705984. Its totient is φ = 2032128000.

The previous prime is 5440542119. The next prime is 5440542209. The reversal of 5440542160 is 612450445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19361220 + ... + 19361500.

Almost surely, 25440542160 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 5440542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760852992).

5440542160 is an abundant number, since it is smaller than the sum of its proper divisors (8081163824).

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

5440542160 is a wasteful number, since it uses less digits than its factorization.

5440542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 5440542160 is about 73760.0309110564. The cubic root of 5440542160 is about 1758.7902930297.

It can be divided in two parts, 5440 and 542160, that added together give a square (547600 = 7402).

The spelling of 5440542160 in words is "five billion, four hundred forty million, five hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 211 248 281 296 310 370 422 496 562 592 620 740 844 1055 1124 1147 1240 1405 1480 1688 2110 2248 2294 2480 2810 2960 3376 4220 4496 4588 5620 5735 6541 7807 8440 8711 9176 10397 11240 11470 13082 15614 16880 17422 18352 20794 22480 22940 26164 31228 32705 34844 39035 41588 43555 45880 51985 52328 59291 62456 65410 69688 78070 83176 87110 91760 103970 104656 118582 124912 130820 139376 156140 166352 174220 207940 237164 242017 261640 296455 312280 322307 348440 415880 474328 484034 523280 592910 624560 644614 696880 831760 948656 968068 1185820 1210085 1289228 1611535 1838021 1936136 2193767 2371640 2420170 2578456 3223070 3676042 3872272 4387534 4743280 4840340 5156912 6446140 7352084 8775068 9190105 9680680 10968835 12892280 14704168 17550136 18380210 19361360 21937670 25784560 29408336 35100272 36760420 43875340 68006777 73520840 87750680 136013554 147041680 175501360 272027108 340033885 544054216 680067770 1088108432 1360135540 2720271080 5440542160