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144311442013401 = 313671313607116881
BaseRepresentation
bin100000110100000000100000…
…001111001111110011011001
3200220222001001112000202220120
4200310000200033033303121
5122403344313123412101
61230531432232143453
742253105030524315
oct4064004017176331
9626861045022816
10144311442013401
1141a89158909133
1214228635b37b89
13626a6839c3a60
14278c9d521cb45
1511a3d12406b36
hex8340203cfcd9

144311442013401 has 64 divisors (see below), whose sum is σ = 211975190439936. Its totient is φ = 86788954137600.

The previous prime is 144311442013399. The next prime is 144311442013513. The reversal of 144311442013401 is 104310244113441.

It is not a de Polignac number, because 144311442013401 - 21 = 144311442013399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144311442023401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234628481 + ... + 1234745361.

It is an arithmetic number, because the mean of its divisors is an integer number (3312112350624).

Almost surely, 2144311442013401 is an apocalyptic number.

It is an amenable number.

144311442013401 is a deficient number, since it is larger than the sum of its proper divisors (67663748426535).

144311442013401 is a wasteful number, since it uses less digits than its factorization.

144311442013401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120702.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 144311442013401 its reverse (104310244113441), we get a palindrome (248621686126842).

The spelling of 144311442013401 in words is "one hundred forty-four trillion, three hundred eleven billion, four hundred forty-two million, thirteen thousand, four hundred one".

Divisors: 1 3 13 39 67 131 201 393 871 1703 2613 3607 5109 8777 10821 26331 46891 114101 116881 140673 241669 342303 350643 472517 725007 1417551 1519453 3141697 4558359 6142721 7831027 9425091 15311411 18428163 23493081 31658639 45934233 94975917 101803351 199048343 305410053 411562307 421589767 597145029 1025864537 1234686921 1264769301 3077593611 5480666971 13336238981 16442000913 28246514389 40008716943 55228259477 84739543167 165684778431 367204687057 717967373201 1101614061171 2153902119603 3700293384959 11100880154877 48103814004467 144311442013401