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144232133430 = 235711127491639
BaseRepresentation
bin1000011001010011100…
…1111011001100110110
3111210021210012112101210
42012110321323030312
54330341411232210
6150132003102250
713264130622510
oct2062471731466
9453253175353
10144232133430
1156194308680
1223b53071986
13107a760ba68
146da372abb0
153b4254be20
hex2194e7b336

144232133430 has 128 divisors (see below), whose sum is σ = 434971607040. Its totient is φ = 29734266240.

The previous prime is 144232133417. The next prime is 144232133443. The reversal of 144232133430 is 34331232441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144232133417) and next prime (144232133443).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47551 + ... + 539189.

It is an arithmetic number, because the mean of its divisors is an integer number (3398215680).

Almost surely, 2144232133430 is an apocalyptic number.

144232133430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144232133430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217485803520).

144232133430 is an abundant number, since it is smaller than the sum of its proper divisors (290739473610).

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

144232133430 is a wasteful number, since it uses less digits than its factorization.

144232133430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491794.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 144232133430 its reverse (34331232441), we get a palindrome (178563365871).

The spelling of 144232133430 in words is "one hundred forty-four billion, two hundred thirty-two million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 127 154 165 210 231 254 330 381 385 462 635 762 770 889 1155 1270 1397 1778 1905 2310 2667 2794 3810 4191 4445 5334 6985 8382 8890 9779 13335 13970 19558 20955 26670 29337 41910 48895 58674 97790 146685 293370 491639 983278 1474917 2458195 2949834 3441473 4916390 5408029 6882946 7374585 10324419 10816058 14749170 16224087 17207365 20648838 27040145 32448174 34414730 37856203 51622095 54080290 62438153 75712406 81120435 103244190 113568609 124876306 162240870 187314459 189281015 227137218 312190765 374628918 378562030 437067071 567843045 624381530 686819683 874134142 936572295 1135686090 1311201213 1373639366 1873144590 2060459049 2185335355 2622402426 3434098415 4120918098 4370670710 4807737781 6556006065 6868196830 9615475562 10302295245 13112012130 14423213343 20604590490 24038688905 28846426686 48077377810 72116066715 144232133430