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144431650104 = 2337347373301
BaseRepresentation
bin1000011010000011001…
…1000001010100111000
3111210210200122000211020
42012200303001110320
54331244000300404
6150203451302440
713302102525000
oct2064063012470
9453720560736
10144431650104
11562869a0495
1223ba9a4aa20
1310809a57071
146dc2025000
153b54d0ced9
hex21a0cc1538

144431650104 has 128 divisors (see below), whose sum is σ = 430043904000. Its totient is φ = 40388073600.

The previous prime is 144431650091. The next prime is 144431650117. The reversal of 144431650104 is 401056134441.

It is an interprime number because it is at equal distance from previous prime (144431650091) and next prime (144431650117).

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, 200254 + ... + 573554.

It is an arithmetic number, because the mean of its divisors is an integer number (3359718000).

Almost surely, 2144431650104 is an apocalyptic number.

144431650104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144431650104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215021952000).

144431650104 is an abundant number, since it is smaller than the sum of its proper divisors (285612253896).

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

144431650104 is a wasteful number, since it uses less digits than its factorization.

144431650104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373378 (or 373360 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 144431650104 its reverse (401056134441), we get a palindrome (545487784545).

The spelling of 144431650104 in words is "one hundred forty-four billion, four hundred thirty-one million, six hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 282 294 329 343 376 392 564 588 658 686 987 1029 1128 1176 1316 1372 1974 2058 2303 2632 2744 3948 4116 4606 6909 7896 8232 9212 13818 16121 18424 27636 32242 48363 55272 64484 96726 128968 193452 373301 386904 746602 1119903 1493204 2239806 2613107 2986408 4479612 5226214 7839321 8959224 10452428 15678642 17545147 18291749 20904856 31357284 35090294 36583498 52635441 54875247 62714568 70180588 73166996 105270882 109750494 122816029 128042243 140361176 146333992 210541764 219500988 245632058 256084486 368448087 384126729 421083528 439001976 491264116 512168972 736896174 768253458 859712203 982528232 1024337944 1473792348 1536506916 1719424406 2579136609 2947584696 3073013832 3438848812 5158273218 6017985421 6877697624 10316546436 12035970842 18053956263 20633092872 24071941684 36107912526 48143883368 72215825052 144431650104