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144241203332031 = 31343191823547171
BaseRepresentation
bin100000110010111111000101…
…101011111100001110111111
3200220201022202110120001202020
4200302333011223330032333
5122401221441023111111
61230435254413331223
742245040324553521
oct4062770553741677
9626638673501666
10144241203332031
1141a61394a14233
1214216ab3196b13
136263b6bc9a830
142789450a35a11
1511a20a0d9a906
hex832fc5afc3bf

144241203332031 has 64 divisors (see below), whose sum is σ = 213301057880064. Its totient is φ = 86140666684800.

The previous prime is 144241203331921. The next prime is 144241203332041. The reversal of 144241203332031 is 130233302142441.

It is not a de Polignac number, because 144241203332031 - 214 = 144241203315647 is a prime.

It is a super-2 number, since 2×1442412033320312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144241203331983 and 144241203332001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144241203332041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263339076 + ... + 263886246.

It is an arithmetic number, because the mean of its divisors is an integer number (3332829029376).

Almost surely, 2144241203332031 is an apocalyptic number.

144241203332031 is a deficient number, since it is larger than the sum of its proper divisors (69059854548033).

144241203332031 is a wasteful number, since it uses less digits than its factorization.

144241203332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548244.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 144241203332031 its reverse (130233302142441), we get a palindrome (274474505474472).

The spelling of 144241203332031 in words is "one hundred forty-four trillion, two hundred forty-one billion, two hundred three million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 3 13 39 43 129 191 559 573 823 1677 2469 2483 7449 8213 10699 24639 32097 35389 106167 106769 157193 320307 460057 471579 547171 1380171 1641513 2043509 6130527 6759299 7113223 20277897 21339669 23528353 70585059 87870887 104509661 263612661 305868589 313528983 450321733 917605767 1350965199 1358625593 4075876779 4493915423 5854182529 13481746269 17562547587 19363834519 58091503557 58420900499 86011451003 175262701497 251729848747 258034353009 755189546241 1118148863039 3354446589117 3698492393129 11095477179387 48080401110677 144241203332031