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145073149104 = 243137914919751
BaseRepresentation
bin1000011100011100001…
…0001001010010110000
3111212110101201120000110
42013013002021102300
54334102211232404
6150351245021320
713324022264322
oct2070702112260
9455411646013
10145073149104
1156586013154
1224148854840
13108ac922880
1470432d1612
153b912c6b89
hex21c70894b0

145073149104 has 160 divisors (see below), whose sum is σ = 411473664000. Its totient is φ = 43774848000.

The previous prime is 145073149097. The next prime is 145073149127. The reversal of 145073149104 is 401941370541.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 7335229 + ... + 7354979.

It is an arithmetic number, because the mean of its divisors is an integer number (2571710400).

Almost surely, 2145073149104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145073149104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205736832000).

145073149104 is an abundant number, since it is smaller than the sum of its proper divisors (266400514896).

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

145073149104 is a wasteful number, since it uses less digits than its factorization.

145073149104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20003 (or 19997 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 145073149104 in words is "one hundred forty-five billion, seventy-three million, one hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 149 156 158 208 237 298 312 316 447 474 596 624 632 894 948 1027 1192 1264 1788 1896 1937 2054 2384 3081 3576 3792 3874 4108 5811 6162 7152 7748 8216 11622 11771 12324 15496 16432 19751 23244 23542 24648 30992 35313 39502 46488 47084 49296 59253 70626 79004 92976 94168 118506 141252 153023 158008 188336 237012 256763 282504 306046 316016 459069 474024 513526 565008 612092 770289 918138 948048 1027052 1224184 1540578 1560329 1836276 2054104 2448368 2942899 3081156 3120658 3672552 4108208 4680987 5885798 6162312 6241316 7345104 8828697 9361974 11771596 12324624 12482632 17657394 18723948 20284277 23543192 24965264 35314788 37447896 38257687 40568554 47086384 60852831 70629576 74895792 76515374 81137108 114773061 121705662 141259152 153030748 162274216 229546122 232489021 243411324 306061496 324548432 459092244 464978042 486822648 612122992 697467063 918184488 929956084 973645296 1394934126 1836368976 1859912168 2789868252 3022357273 3719824336 5579736504 6044714546 9067071819 11159473008 12089429092 18134143638 24178858184 36268287276 48357716368 72536574552 145073149104