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144154540420 = 225113724173483
BaseRepresentation
bin1000011001000001000…
…1111011100110000100
3111210002101012101210121
42012100101323212010
54330212030243140
6150120152031324
713262166243022
oct2062021734604
9453071171717
10144154540420
1156154530920
1223b31092544
1310794512137
146d972cd712
153b3a82164a
hex219047b984

144154540420 has 96 divisors (see below), whose sum is σ = 340582467456. Its totient is φ = 50790758400.

The previous prime is 144154540357. The next prime is 144154540423. The reversal of 144154540420 is 24045451441.

It is not an unprimeable number, because it can be changed into a prime (144154540423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924999 + ... + 1998481.

It is an arithmetic number, because the mean of its divisors is an integer number (3547734036).

Almost surely, 2144154540420 is an apocalyptic number.

144154540420 is a gapful number since it is divisible by the number (10) 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 144154540420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170291233728).

144154540420 is an abundant number, since it is smaller than the sum of its proper divisors (196427927036).

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

144154540420 is a wasteful number, since it uses less digits than its factorization.

144154540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73781 (or 73779 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 144154540420 its reverse (24045451441), we get a palindrome (168199991861).

The spelling of 144154540420 in words is "one hundred forty-four billion, one hundred fifty-four million, five hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 241 370 407 482 740 814 964 1205 1628 2035 2410 2651 4070 4820 5302 8140 8917 10604 13255 17834 26510 35668 44585 53020 73483 89170 98087 146966 178340 196174 293932 367415 392348 490435 734830 808313 980870 1469660 1616626 1961740 2718871 3233252 4041565 5437742 8083130 10875484 13594355 16166260 17709403 27188710 29907581 35418806 54377420 59815162 70837612 88547015 119630324 149537905 177094030 194803433 299075810 354188060 389606866 598151620 655247911 779213732 974017165 1310495822 1948034330 2620991644 3276239555 3896068660 6552479110 7207727021 13104958220 14415454042 28830908084 36038635105 72077270210 144154540420