Search a number
-
+
402241302442320 = 243511296351422251
BaseRepresentation
bin101101101110101100001100…
…1111100100011000101010000
31221202012220002222020010002020
41123131120121330203011100
5410210310141411123240
63543255034152451440
7150503655311230215
oct13335303174430520
91852186088203066
10402241302442320
1110719163a901930
12391450863a9b80
131435a265c65373
147148823741b0c
15317834558b0d0
hex16dd619f23150

402241302442320 has 160 divisors (see below), whose sum is σ = 1360766074397184. Its totient is φ = 97480130880000.

The previous prime is 402241302442319. The next prime is 402241302442333. The reversal of 402241302442320 is 23244203142204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 17888806 + ... + 33533445.

Almost surely, 2402241302442320 is an apocalyptic number.

402241302442320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402241302442320 is an abundant number, since it is smaller than the sum of its proper divisors (958524771954864).

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

402241302442320 is a wasteful number, since it uses less digits than its factorization.

402241302442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51425241 (or 51425235 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 402241302442320 its reverse (23244203142204), we get a palindrome (425485505584524).

The spelling of 402241302442320 in words is "four hundred two trillion, two hundred forty-one billion, three hundred two million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 2963 5926 8889 11852 14815 17778 23704 29630 32593 35556 44445 47408 59260 65186 71112 88890 97779 118520 130372 142224 162965 177780 195558 237040 260744 325930 355560 391116 488895 521488 651860 711120 782232 977790 1303720 1564464 1955580 2607440 3911160 7822320 51422251 102844502 154266753 205689004 257111255 308533506 411378008 514222510 565644761 617067012 771333765 822756016 1028445020 1131289522 1234134024 1542667530 1696934283 2056890040 2262579044 2468268048 2828223805 3085335060 3393868566 4113780080 4525158088 5656447610 6170670120 6787737132 8484671415 9050316176 11312895220 12341340240 13575474264 16969342830 22625790440 27150948528 33938685660 45251580880 67877371320 135754742640 152364129713 304728259426 457092389139 609456518852 761820648565 914184778278 1218913037704 1523641297130 1676005426843 1828369556556 2285461945695 2437826075408 3047282594260 3352010853686 3656739113112 4570923891390 5028016280529 6094565188520 6704021707372 7313478226224 8380027134215 9141847782780 10056032561058 12189130377040 13408043414744 16760054268430 18283695565560 20112065122116 25140081402645 26816086829488 33520108536860 36567391131120 40224130244232 50280162805290 67040217073720 80448260488464 100560325610580 134080434147440 201120651221160 402241302442320