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144240341104002 = 2311136531279201287
BaseRepresentation
bin100000110010111110010010…
…010010110011010110000010
3200220201020112101010100020210
4200302332102102303112002
5122401213204310312002
61230435033053014550
742245010055003263
oct4062762222632602
9626636471110223
10144240341104002
1141a60a92240590
12142168b2484456
136263a6246a830
1427893ac30c96a
1511a205033096c
hex832f924b3582

144240341104002 has 128 divisors (see below), whose sum is σ = 339700456488960. Its totient is φ = 40253464131840.

The previous prime is 144240341103997. The next prime is 144240341104019. The reversal of 144240341104002 is 200401143042441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716489803 + ... + 716691089.

It is an arithmetic number, because the mean of its divisors is an integer number (2653909816320).

Almost surely, 2144240341104002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144240341104002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169850228244480).

144240341104002 is an abundant number, since it is smaller than the sum of its proper divisors (195460115384958).

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

144240341104002 is a wasteful number, since it uses less digits than its factorization.

144240341104002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203248.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144240341104002 its reverse (200401143042441), we get a palindrome (344641484146443).

The spelling of 144240341104002 in words is "one hundred forty-four trillion, two hundred forty billion, three hundred forty-one million, one hundred four thousand, two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 653 858 1279 1306 1959 2558 3837 3918 7183 7674 8489 14069 14366 16627 16978 21549 25467 28138 33254 42207 43098 49881 50934 84414 93379 99762 182897 186758 201287 280137 365794 402574 548691 560274 603861 835187 1097382 1207722 1670374 2214157 2505561 2616731 4428314 5011122 5233462 6642471 7850193 9187057 10857431 13284942 15700386 18374114 21714862 27561171 28784041 32572293 55122342 57568082 65144586 86352123 119431741 131440411 172704246 238863482 257446073 262880822 358295223 394321233 514892146 716590446 772338219 788642466 1445844521 1544676438 1708725343 2831906803 2891689042 3346798949 3417450686 4337533563 5126176029 5663813606 6693597898 8495720409 8675067126 10040396847 10252352058 16991440818 18795978773 20080793694 36814788439 37591957546 56387936319 73629576878 110444365317 112775872638 168112285669 220888730634 336224571338 504336857007 1008673714014 1849235142359 2185459713697 3698470284718 4370919427394 5547705427077 6556379141091 11095410854154 13112758282182 24040056850667 48080113701334 72120170552001 144240341104002