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23114441211444 = 22321127967168931
BaseRepresentation
bin1010100000101110000000…
…00011101011111000110100
310000211201102011001200020200
411100113000003223320310
511012201333422231234
6121054343330000500
74603651254356532
oct520270003537064
9100751364050220
1023114441211444
117401863520800
122713897716130
13cb88b44728ab
1459ca600dd152
152a13d654bd99
hex1505c00ebe34

23114441211444 has 108 divisors (see below), whose sum is σ = 65035646719680. Its totient is φ = 6915713032800.

The previous prime is 23114441211431. The next prime is 23114441211461. The reversal of 23114441211444 is 44411214441132.

23114441211444 is a `hidden beast` number, since 2 + 31 + 144 + 41 + 2 + 1 + 1 + 444 = 666.

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 = 23114441211399 and 23114441211408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33240342 + ... + 33928589.

Almost surely, 223114441211444 is an apocalyptic number.

It is an amenable number.

23114441211444 is an abundant number, since it is smaller than the sum of its proper divisors (41921205508236).

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

23114441211444 is a wasteful number, since it uses less digits than its factorization.

23114441211444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67169042 (or 67169026 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 23114441211444 its reverse (44411214441132), we get a palindrome (67525655652576).

The spelling of 23114441211444 in words is "twenty-three trillion, one hundred fourteen billion, four hundred forty-one million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 121 132 158 198 237 242 316 363 396 474 484 711 726 869 948 1089 1422 1452 1738 2178 2607 2844 3476 4356 5214 7821 9559 10428 15642 19118 28677 31284 38236 57354 86031 114708 172062 344124 67168931 134337862 201506793 268675724 403013586 604520379 738858241 806027172 1209040758 1477716482 2216574723 2418081516 2955432964 4433149446 5306345549 6649724169 8127440651 8866298892 10612691098 13299448338 15919036647 16254881302 21225382196 24382321953 26598896676 31838073294 32509762604 47757109941 48764643906 58369801039 63676146588 73146965859 95514219882 97529287812 116739602078 146293931718 175109403117 191028439764 233479204156 292587863436 350218806234 525328209351 642067811429 700437612468 1050656418702 1284135622858 1926203434287 2101312837404 2568271245716 3852406868574 5778610302861 7704813737148 11557220605722 23114441211444