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144110113310040 = 233541131223592927
BaseRepresentation
bin100000110001000101000000…
…000111001100010101011000
3200220020210101120112222001120
4200301011000013030111120
5122342100003001410130
61230255134435245240
742232416644011503
oct4061050007142530
9626223346488046
10144110113310040
1141a10835025489
12141b5609449820
1362546aa329b97
142782d768a813a
15119d97c4c2910
hex8311401cc558

144110113310040 has 128 divisors (see below), whose sum is σ = 446255709419520. Its totient is φ = 37205862886400.

The previous prime is 144110113310027. The next prime is 144110113310057. The reversal of 144110113310040 is 40013311011441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111151944 + ... + 112440983.

It is an arithmetic number, because the mean of its divisors is an integer number (3486372729840).

Almost surely, 2144110113310040 is an apocalyptic number.

144110113310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144110113310040 is an abundant number, since it is smaller than the sum of its proper divisors (302145596109480).

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

144110113310040 is a wasteful number, since it uses less digits than its factorization.

144110113310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223593113 (or 223593109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 144110113310040 its reverse (40013311011441), we get a palindrome (184123424321481).

The spelling of 144110113310040 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred thirteen million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 131 164 205 246 262 328 393 410 492 524 615 655 786 820 984 1048 1230 1310 1572 1640 1965 2460 2620 3144 3930 4920 5240 5371 7860 10742 15720 16113 21484 26855 32226 42968 53710 64452 80565 107420 128904 161130 214840 322260 644520 223592927 447185854 670778781 894371708 1117964635 1341557562 1788743416 2235929270 2683115124 3353893905 4471858540 5366230248 6707787810 8943717080 9167310007 13415575620 18334620014 26831151240 27501930021 29290673437 36669240028 45836550035 55003860042 58581346874 73338480056 87872020311 91673100070 110007720084 117162693748 137509650105 146453367185 175744040622 183346200140 220015440168 234325387496 275019300210 292906734370 351488081244 366692400280 439360101555 550038600420 585813468740 702976162488 878720203110 1100077200840 1171626937480 1200917610917 1757440406220 2401835221834 3514880812440 3602752832751 4803670443668 6004588054585 7205505665502 9607340887336 12009176109170 14411011331004 18013764163755 24018352218340 28822022662008 36027528327510 48036704436680 72055056655020 144110113310040