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144200040023320 = 235139307673125527
BaseRepresentation
bin100000110010011000110000…
…001010011000010100011000
3200220120101111201112022200221
4200302120300022120110120
5122400033140221221240
61230404330041005424
742242052263322241
oct4062306012302430
9626511451468627
10144200040023320
1141a45991340136
121420ab25783874
13626000bbcc628
142787467b69cc8
1511a0e921c4a4a
hex832630298518

144200040023320 has 128 divisors (see below), whose sum is σ = 328338468057600. Its totient is φ = 56993254649856.

The previous prime is 144200040023297. The next prime is 144200040023323. The reversal of 144200040023320 is 23320040002441.

It is a happy number.

It is a super-2 number, since 2×1442000400233202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144200040023323) 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, 1148694397 + ... + 1148819923.

It is an arithmetic number, because the mean of its divisors is an integer number (2565144281700).

Almost surely, 2144200040023320 is an apocalyptic number.

144200040023320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144200040023320 is an abundant number, since it is smaller than the sum of its proper divisors (184138428034280).

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

144200040023320 is a wasteful number, since it uses less digits than its factorization.

144200040023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126657 (or 126653 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 144200040023320 its reverse (23320040002441), we get a palindrome (167520080025761).

The spelling of 144200040023320 in words is "one hundred forty-four trillion, two hundred billion, forty million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 278 307 556 614 673 695 1112 1228 1346 1390 1535 2456 2692 2780 3070 3365 5384 5560 6140 6730 12280 13460 26920 42673 85346 93547 125527 170692 187094 206611 213365 251054 341384 374188 413222 426730 467735 502108 627635 748376 826444 853460 935470 1004216 1033055 1255270 1652888 1706920 1870940 2066110 2510540 3741880 4132220 5021080 8264440 17448253 28718929 34896506 38536789 57437858 69793012 77073578 84479671 87241265 114875716 139586024 143594645 154147156 168959342 174482530 192683945 229751432 287189290 308294312 337918684 348965060 385367890 422398355 574378580 675837368 697930120 770735780 844796710 1148757160 1541471560 1689593420 3379186840 5356613671 10713227342 11742674269 21426454684 23485348538 25935258997 26783068355 42852909368 46970697076 51870517994 53566136710 58713371345 93941394152 103741035988 107132273420 117426742690 129676294985 207482071976 214264546840 234853485380 259352589970 469706970760 518705179940 1037410359880 3605001000583 7210002001166 14420004002332 18025005002915 28840008004664 36050010005830 72100020011660 144200040023320