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145113301520 = 245111735327479
BaseRepresentation
bin1000011100100101101…
…1010100001000010000
3111212120012021111202222
42013021123110020100
54334143001122040
6150355241400212
713325020465625
oct2071133241020
9455505244688
10145113301520
11565a6748270
122415a199068
13108b80408b5
14704878434c
153b94aa8bb5
hex21c96d4210

145113301520 has 160 divisors (see below), whose sum is σ = 390828913920. Its totient is φ = 49521950720.

The previous prime is 145113301511. The next prime is 145113301559. The reversal of 145113301520 is 25103311541.

It is a self number, because there is not a number n which added to its sum of digits gives 145113301520.

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, 5267141 + ... + 5294619.

It is an arithmetic number, because the mean of its divisors is an integer number (2442680712).

Almost surely, 2145113301520 is an apocalyptic number.

145113301520 is a gapful number since it is divisible by the number (10) 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 145113301520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195414456960).

145113301520 is an abundant number, since it is smaller than the sum of its proper divisors (245715612400).

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

145113301520 is a wasteful number, since it uses less digits than its factorization.

145113301520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27873 (or 27867 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 145113301520 in words is "one hundred forty-five billion, one hundred thirteen million, three hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 353 374 440 680 706 748 880 935 1360 1412 1496 1765 1870 2824 2992 3530 3740 3883 5648 6001 7060 7480 7766 12002 14120 14960 15532 19415 24004 27479 28240 30005 31064 38830 48008 54958 60010 62128 66011 77660 96016 109916 120020 132022 137395 155320 219832 240040 264044 274790 302269 310640 330055 439664 467143 480080 528088 549580 604538 660110 934286 1056176 1099160 1209076 1320220 1511345 1868572 2198320 2335715 2418152 2640440 3022690 3737144 4671430 4836304 5138573 5280880 6045380 7474288 9342860 9700087 10277146 12090760 18685720 19400174 20554292 24181520 25692865 37371440 38800348 41108584 48500435 51385730 77600696 82217168 97000870 102771460 106700957 155201392 164901479 194001740 205542920 213401914 329802958 388003480 411085840 426803828 533504785 659605916 776006960 824507395 853607656 1067009570 1319211832 1649014790 1707215312 1813916269 2134019140 2638423664 3298029580 3627832538 4268038280 6596059160 7255665076 8536076560 9069581345 13192118320 14511330152 18139162690 29022660304 36278325380 72556650760 145113301520