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144241400231313 = 372115315111113883
BaseRepresentation
bin100000110010111111010001…
…011011000011010110010001
3200220201100021012001120210020
4200302333101123003112101
5122401222341424400223
61230435330125454053
742245045235305100
oct4062772133032621
9626640235046706
10144241400231313
1141a61486079610
1214216b49111329
136263ba0a0a698
14278946cc4c037
1511a20b32e11e3
hex832fd16c3591

144241400231313 has 96 divisors (see below), whose sum is σ = 248829352676352. Its totient is φ = 73468092297600.

The previous prime is 144241400231309. The next prime is 144241400231339. The reversal of 144241400231313 is 313132004142441.

It is a happy number.

It is not a de Polignac number, because 144241400231313 - 22 = 144241400231309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144241400231363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128937270 + ... + 130051152.

It is an arithmetic number, because the mean of its divisors is an integer number (2591972423712).

Almost surely, 2144241400231313 is an apocalyptic number.

It is an amenable number.

144241400231313 is a deficient number, since it is larger than the sum of its proper divisors (104587952445039).

144241400231313 is a wasteful number, since it uses less digits than its factorization.

144241400231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115475 (or 1115468 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 144241400231313 its reverse (313132004142441), we get a palindrome (457373404373754).

The spelling of 144241400231313 in words is "one hundred forty-four trillion, two hundred forty-one billion, four hundred million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 49 53 77 147 159 231 371 539 583 1113 1511 1617 1749 2597 4081 4533 7791 10577 12243 16621 28567 31731 49863 74039 80083 85701 116347 222117 240249 349041 560581 814429 880913 1113883 1681743 2443287 2642739 3341649 3924067 6166391 7797181 11772201 12252713 18499173 23391543 36758139 43164737 54580267 59035799 85768991 129494211 163740801 177107397 257306973 413250593 600382937 649393789 1239751779 1683077213 1801148811 1948181367 2892754151 4545756523 5049231639 8678262453 11781540491 13637269569 18513849343 31820295661 35344621473 55541548029 82470783437 89203092289 95460886983 129596945401 247412350311 267609276867 388790836203 624421646023 907178617807 981234015179 1873264938069 2721535853421 2943702045537 4370951522161 6868638106253 13112854566483 20605914318759 48080466743771 144241400231313