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145026754620 = 2235112173115469
BaseRepresentation
bin1000011100010001000…
…1001010100000111100
3111212100011102110202020
42013010101022200330
54334003322121440
6150342510400140
713322620034406
oct2070421124074
9455304373666
10145026754620
1156561905300
1224135200050
13108a312a607
14703b095b76
153b8c1b03d0
hex21c444a83c

145026754620 has 144 divisors (see below), whose sum is σ = 448930732320. Its totient is φ = 34954472960.

The previous prime is 145026754619. The next prime is 145026754693. The reversal of 145026754620 is 26457620541.

It is a super-3 number, since 3×1450267546203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198246 + ... + 1313714.

It is an arithmetic number, because the mean of its divisors is an integer number (3117574530).

Almost surely, 2145026754620 is an apocalyptic number.

145026754620 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 145026754620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224465366160).

145026754620 is an abundant number, since it is smaller than the sum of its proper divisors (303903977700).

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

145026754620 is a wasteful number, since it uses less digits than its factorization.

145026754620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115676 (or 115663 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 145026754620 in words is "one hundred forty-five billion, twenty-six million, seven hundred fifty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 173 220 242 330 346 363 484 519 605 660 692 726 865 1038 1210 1452 1730 1815 1903 2076 2420 2595 3460 3630 3806 5190 5709 7260 7612 9515 10380 11418 19030 20933 22836 28545 38060 41866 57090 62799 83732 104665 114180 115469 125598 209330 230938 251196 313995 346407 418660 461876 577345 627990 692814 1154690 1255980 1270159 1385628 1732035 2309380 2540318 3464070 3810477 5080636 6350795 6928140 7620954 12701590 13971749 15241908 19052385 19976137 25403180 27943498 38104770 39952274 41915247 55886996 59928411 69858745 76209540 79904548 83830494 99880685 119856822 139717490 167660988 199761370 209576235 219737507 239713644 279434980 299642055 399522740 419152470 439475014 599284110 659212521 838304940 878950028 1098687535 1198568220 1318425042 2197375070 2417112577 2636850084 3296062605 4394750140 4834225154 6592125210 7251337731 9668450308 12085562885 13184250420 14502675462 24171125770 29005350924 36256688655 48342251540 72513377310 145026754620