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144300421042320 = 24351167751490259
BaseRepresentation
bin100000110011110110001111…
…010101100101000010010000
3200220220222121110010102202110
4200303312033111211002100
5122403204230241323240
61230522410454345320
742252234645026304
oct4063661725450220
9626828543112673
10144300421042320
1141a84512857474
121422647b05b240
136269618635caa
14278c26b64dd04
1511a38b9ac3c80
hex833d8f565090

144300421042320 has 80 divisors (see below), whose sum is σ = 447369622672320. Its totient is φ = 38476816154112.

The previous prime is 144300421042303. The next prime is 144300421042471. The reversal of 144300421042320 is 23240124003441.

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

It is a super-2 number, since 2×1443004210423202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22942650 + ... + 28547609.

It is an arithmetic number, because the mean of its divisors is an integer number (5592120283404).

Almost surely, 2144300421042320 is an apocalyptic number.

144300421042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300421042320 is an abundant number, since it is smaller than the sum of its proper divisors (303069201630000).

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

144300421042320 is a wasteful number, since it uses less digits than its factorization.

144300421042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51501952 (or 51501946 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144300421042320 its reverse (23240124003441), we get a palindrome (167540545045761).

The spelling of 144300421042320 in words is "one hundred forty-four trillion, three hundred billion, four hundred twenty-one million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11677 23354 35031 46708 58385 70062 93416 116770 140124 175155 186832 233540 280248 350310 467080 560496 700620 934160 1401240 2802480 51490259 102980518 154470777 205961036 257451295 308941554 411922072 514902590 617883108 772353885 823844144 1029805180 1235766216 1544707770 2059610360 2471532432 3089415540 4119220720 6178831080 12357662160 601251754343 1202503508686 1803755263029 2405007017372 3006258771715 3607510526058 4810014034744 6012517543430 7215021052116 9018776315145 9620028069488 12025035086860 14430042104232 18037552630290 24050070173720 28860084208464 36075105260580 48100140347440 72150210521160 144300421042320