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144240403332220 = 2251319271107743403
BaseRepresentation
bin100000110010111110010110…
…000000001011110001111100
3200220201020200201012212022121
4200302332112000023301330
5122401213321223112340
61230435043154452324
742245011441640536
oct4062762600136174
9626636621185277
10144240403332220
1141a61014383568
121421690b2940a4
136263a72317a70
1427893b66aa856
1511a2055a2394a
hex832f9600bc7c

144240403332220 has 96 divisors (see below), whose sum is σ = 344640981242880. Its totient is φ = 50268761637120.

The previous prime is 144240403332211. The next prime is 144240403332227. The reversal of 144240403332220 is 22233304042441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144240403332227) 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, 52532962 + ... + 55210441.

It is an arithmetic number, because the mean of its divisors is an integer number (3590010221280).

Almost surely, 2144240403332220 is an apocalyptic number.

144240403332220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240403332220 is an abundant number, since it is smaller than the sum of its proper divisors (200400577910660).

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

144240403332220 is a wasteful number, since it uses less digits than its factorization.

144240403332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107743715 (or 107743713 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 144240403332220 its reverse (22233304042441), we get a palindrome (166473707374661).

The spelling of 144240403332220 in words is "one hundred forty-four trillion, two hundred forty billion, four hundred three million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 271 380 494 542 988 1084 1235 1355 2470 2710 3523 4940 5149 5420 7046 10298 14092 17615 20596 25745 35230 51490 66937 70460 102980 133874 267748 334685 669370 1338740 107743403 215486806 430973612 538717015 1077434030 1400664239 2047124657 2154868060 2801328478 4094249314 5602656956 7003321195 8188498628 10235623285 14006642390 20471246570 26612620541 28013284780 29198462213 40942493140 53225241082 58396924426 106450482164 116793848852 133063102705 145992311065 266126205410 291984622130 379580008769 532252410820 554770782047 583969244260 759160017538 1109541564094 1518320035076 1897900043845 2219083128188 2773853910235 3795800087690 5547707820470 7212020166611 7591600175380 11095415640940 14424040333222 28848080666444 36060100833055 72120201666110 144240403332220