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144442231210480 = 2457614228402553
BaseRepresentation
bin100000110101111010010011…
…111000011100000111110000
3200221102112122102222101101211
4200311322103320130013300
5122413020142142213410
61231111502302405504
742265415066412640
oct4065722370340760
9627375572871354
10144442231210480
1142029673a0a755
1214249a56b90894
136279ac82382b8
142795081440520
1511a74196ab68a
hex835e93e1c1f0

144442231210480 has 80 divisors (see below), whose sum is σ = 390095506021824. Its totient is φ = 48711197399040.

The previous prime is 144442231210441. The next prime is 144442231210481. The reversal of 144442231210480 is 84012132244441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1444422312104803 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442231210481) 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 15 ways as a sum of consecutive naturals, for example, 2114167117 + ... + 2114235436.

Almost surely, 2144442231210480 is an apocalyptic number.

144442231210480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442231210480 is an abundant number, since it is smaller than the sum of its proper divisors (245653274811344).

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

144442231210480 is a wasteful number, since it uses less digits than its factorization.

144442231210480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228402634 (or 4228402628 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 144442231210480 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred thirty-one million, two hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 8540 17080 34160 4228402553 8456805106 16913610212 21142012765 29598817871 33827220424 42284025530 59197635742 67654440848 84568051060 118395271484 147994089355 169136102120 236790542968 257932555733 295988178710 338272204240 473581085936 515865111466 591976357420 1031730222932 1183952714840 1289662778665 1805527890131 2063460445864 2367905429680 2579325557330 3611055780262 4126920891728 5158651114660 7222111560524 9027639450655 10317302229320 14444223121048 18055278901310 20634604458640 28888446242096 36110557802620 72221115605240 144442231210480