Search a number
-
+
144759031440 = 24355314897643
BaseRepresentation
bin1000011011010001001…
…1111000011010010000
3111211122111122201120220
42012310103320122100
54332431303001230
6150300144233040
713313156315352
oct2066423703220
9454574581526
10144759031440
1156434776981
122407b60b780
131085c820c2a
1470136c50d2
153b73929d10
hex21b44f8690

144759031440 has 160 divisors (see below), whose sum is σ = 457586962560. Its totient is φ = 37843673088.

The previous prime is 144759031433. The next prime is 144759031457. The reversal of 144759031440 is 44130957441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144759031392 and 144759031401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18936259 + ... + 18943901.

It is an arithmetic number, because the mean of its divisors is an integer number (2859918516).

Almost surely, 2144759031440 is an apocalyptic number.

144759031440 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 144759031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228793481280).

144759031440 is an abundant number, since it is smaller than the sum of its proper divisors (312827931120).

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

144759031440 is a wasteful number, since it uses less digits than its factorization.

144759031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9201 (or 9195 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 144759031440 its reverse (44130957441), we get a palindrome (188889988881).

The spelling of 144759031440 in words is "one hundred forty-four billion, seven hundred fifty-nine million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1489 1590 2120 2544 2978 3180 4240 4467 5956 6360 7445 7643 8934 11912 12720 14890 15286 17868 22335 22929 23824 29780 30572 35736 38215 44670 45858 59560 61144 71472 76430 78917 89340 91716 114645 119120 122288 152860 157834 178680 183432 229290 236751 305720 315668 357360 366864 394585 405079 458580 473502 611440 631336 789170 810158 917160 947004 1183755 1215237 1262672 1578340 1620316 1834320 1894008 2025395 2367510 2430474 3156680 3240632 3788016 4050790 4735020 4860948 6076185 6313360 6481264 8101580 9470040 9721896 11380427 12152370 16203160 18940080 19443792 22760854 24304740 32406320 34141281 45521708 48609480 56902135 68282562 91043416 97218960 113804270 136565124 170706405 182086832 227608540 273130248 341412810 455217080 546260496 603162631 682825620 910434160 1206325262 1365651240 1809487893 2412650524 2731302480 3015813155 3618975786 4825301048 6031626310 7237951572 9047439465 9650602096 12063252620 14475903144 18094878930 24126505240 28951806288 36189757860 48253010480 72379515720 144759031440