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144332400103100 = 225211294524526649
BaseRepresentation
bin100000110100010100000001…
…011100000000111010111100
3200221001001011010101001010222
4200310110001130000322330
5122404220223411244400
61230545220024520512
742254446265406536
oct4064240134007274
9627031133331128
10144332400103100
1141a97033136120
1214230704920138
13626c643a23671
14278da22862856
1511a463c326185
hex834501700ebc

144332400103100 has 72 divisors (see below), whose sum is σ = 353456021898000. Its totient is φ = 50674698457600.

The previous prime is 144332400103069. The next prime is 144332400103139. The reversal of 144332400103100 is 1301004233441.

It is a happy number.

It is a super-2 number, since 2×1443324001031002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144332400103100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2262231425 + ... + 2262295224.

It is an arithmetic number, because the mean of its divisors is an integer number (4909111415250).

Almost surely, 2144332400103100 is an apocalyptic number.

144332400103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144332400103100 is an abundant number, since it is smaller than the sum of its proper divisors (209123621794900).

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

144332400103100 is a wasteful number, since it uses less digits than its factorization.

144332400103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524526703 (or 4524526696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 144332400103100 its reverse (1301004233441), we get a palindrome (145633404336541).

The spelling of 144332400103100 in words is "one hundred forty-four trillion, three hundred thirty-two billion, four hundred million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 4524526649 9049053298 18098106596 22622633245 45245266490 49769793139 90490532980 99539586278 113113166225 131211272821 199079172556 226226332450 248848965695 262422545642 452452664900 497697931390 524845091284 656056364105 995395862780 1244244828475 1312112728210 1443324001031 2488489656950 2624225456420 2886648002062 3280281820525 4976979313900 5773296004124 6560563641050 7216620005155 13121127282100 14433240010310 28866480020620 36083100025775 72166200051550 144332400103100