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144425121880 = 235132149143387
BaseRepresentation
bin1000011010000001101…
…0000111100001011000
3111210210020100100210011
42012200122013201120
54331240312400010
6150203055331304
713301663165164
oct2064032074130
9453706310704
10144425121880
1156283241766
1223ba7820b34
13108085ac800
146dc1205ca4
153b5446da8a
hex21a0687858

144425121880 has 96 divisors (see below), whose sum is σ = 354240054000. Its totient is φ = 52967935488.

The previous prime is 144425121833. The next prime is 144425121881. The reversal of 144425121880 is 88121524441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144425121881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935547 + ... + 1078933.

Almost surely, 2144425121880 is an apocalyptic number.

144425121880 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 144425121880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177120027000).

144425121880 is an abundant number, since it is smaller than the sum of its proper divisors (209814932120).

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

144425121880 is a wasteful number, since it uses less digits than its factorization.

144425121880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143573 (or 143556 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 144425121880 in words is "one hundred forty-four billion, four hundred twenty-five million, one hundred twenty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 169 260 298 338 520 596 676 745 845 1192 1352 1490 1690 1937 2980 3380 3874 5960 6760 7748 9685 15496 19370 25181 38740 50362 77480 100724 125905 143387 201448 251810 286774 503620 573548 716935 1007240 1147096 1433870 1864031 2867740 3728062 5735480 7456124 9320155 14912248 18640310 21364663 24232403 37280620 42729326 48464806 74561240 85458652 96929612 106823315 121162015 170917304 193859224 213646630 242324030 277740619 427293260 484648060 555481238 854586520 969296120 1110962476 1388703095 2221924952 2777406190 3610628047 5554812380 7221256094 11109624760 14442512188 18053140235 28885024376 36106280470 72212560940 144425121880