Search a number
-
+
1224444432420 = 22325115311668043
BaseRepresentation
bin10001110100010110100…
…100110101000000100100
311100001111122012221100100
4101310112210311000210
5130030130233314140
62334300233344100
7154314605643606
oct21642644650044
94301448187310
101224444432420
11432313a62a60
1217937bb68030
138b6069b17c1
1443398bb3176
1521cb5c1a530
hex11d16935024

1224444432420 has 144 divisors (see below), whose sum is σ = 4128247311552. Its totient is φ = 291234328320.

The previous prime is 1224444432359. The next prime is 1224444432457. The reversal of 1224444432420 is 242344444221.

1224444432420 is a `hidden beast` number, since 1 + 224 + 4 + 4 + 4 + 4 + 3 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5729082 + ... + 5938961.

It is an arithmetic number, because the mean of its divisors is an integer number (28668384108).

Almost surely, 21224444432420 is an apocalyptic number.

1224444432420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224444432420 is an abundant number, since it is smaller than the sum of its proper divisors (2903802879132).

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

1224444432420 is a wasteful number, since it uses less digits than its factorization.

1224444432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11668122 (or 11668117 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 1224444432420 its reverse (242344444221), we get a palindrome (1466788876641).

The spelling of 1224444432420 in words is "one trillion, two hundred twenty-four billion, four hundred forty-four million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1166 1590 1749 1908 1980 2332 2385 2915 3180 3498 4770 5247 5830 6996 8745 9540 10494 11660 17490 20988 26235 34980 52470 104940 11668043 23336086 35004129 46672172 58340215 70008258 105012387 116680430 128348473 140016516 175020645 210024774 233360860 256696946 350041290 385045419 420049548 513393892 525061935 618406279 641742365 700082580 770090838 1050123870 1155136257 1236812558 1283484730 1540181676 1855218837 1925227095 2100247740 2310272514 2473625116 2566969460 3092031395 3710437674 3850454190 4620545028 5565656511 5775681285 6184062790 6802469069 7420875348 7700908380 9276094185 11131313022 11551362570 12368125580 13604938138 18552188370 20407407207 22262626044 23102725140 27209876276 27828282555 34012345345 37104376740 40814814414 55656565110 61222221621 68024690690 81629628828 102037036035 111313130220 122444443242 136049381380 204074072070 244888886484 306111108105 408148144140 612222216210 1224444432420