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14322241113444 = 2234114644186531
BaseRepresentation
bin1101000001101010100000…
…0110000000110101100100
31212201012012121102121110000
43100122220012000311210
53334123422211112234
650243314032301300
73005514325542315
oct320325006006544
955635177377400
1014322241113444
114622034801680
1217338b56a1830
137cb7738553c4
143772b339660c
1519c84ae66899
hexd06a8180d64

14322241113444 has 120 divisors (see below), whose sum is σ = 40846261379616. Its totient is φ = 4339929456000.

The previous prime is 14322241113419. The next prime is 14322241113517. The reversal of 14322241113444 is 44431114222341.

14322241113444 is a `hidden beast` number, since 1 + 4 + 3 + 222 + 411 + 13 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×143222411134442 (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14322241113399 and 14322241113408.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165472459 + ... + 165558989.

Almost surely, 214322241113444 is an apocalyptic number.

It is an amenable number.

14322241113444 is an abundant number, since it is smaller than the sum of its proper divisors (26524020266172).

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

14322241113444 is a wasteful number, since it uses less digits than its factorization.

14322241113444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132999 (or 132988 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 14322241113444 its reverse (44431114222341), we get a palindrome (58753355335785).

The spelling of 14322241113444 in words is "fourteen trillion, three hundred twenty-two billion, two hundred forty-one million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 46441 86531 92882 139323 173062 185764 259593 278646 346124 417969 510851 519186 557292 778779 835938 951841 1021702 1038372 1253907 1532553 1557558 1671876 1903682 2043404 2336337 2507814 2855523 3065106 3115116 3761721 3807364 4597659 4672674 5015628 5711046 6130212 7009011 7523442 8566569 9195318 9345348 11422092 13792977 14018022 15046884 17133138 18390636 25699707 27585954 28036044 34266276 41378931 51399414 55171908 77099121 82757862 102798828 154198242 165515724 308396484 4018586171 8037172342 12055758513 16074344684 24111517026 36167275539 44204447881 48223034052 72334551078 88408895762 108501826617 132613343643 144669102156 176817791524 217003653234 265226687286 325505479851 397840030929 434007306468 530453374572 651010959702 795680061858 1193520092787 1302021919404 1591360123716 2387040185574 3580560278361 4774080371148 7161120556722 14322241113444