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240252142530320 = 245157102671863091
BaseRepresentation
bin110110101000001000001111…
…100111001010111100010000
31011111122212202220012202001222
4312220020033213022330100
5222442242341441432240
62210550151031144212
7101414434026462224
oct6650101747127420
91144585686182058
10240252142530320
116a6083a8109388
1222b42584515068
13a4098ab77483b
1443483a12ac784
151cb9799c3deb5
hexda820f9caf10

240252142530320 has 80 divisors (see below), whose sum is σ = 562199159742528. Its totient is φ = 95479397844480.

The previous prime is 240252142530259. The next prime is 240252142530349. The reversal of 240252142530320 is 23035241252042.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128021975 + ... + 129885065.

Almost surely, 2240252142530320 is an apocalyptic number.

240252142530320 is a gapful number since it is divisible by the number (20) 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 240252142530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281099579871264).

240252142530320 is an abundant number, since it is smaller than the sum of its proper divisors (321947017212208).

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

240252142530320 is a wasteful number, since it uses less digits than its factorization.

240252142530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873528 (or 1873522 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 240252142530320 its reverse (23035241252042), we get a palindrome (263287383782362).

The spelling of 240252142530320 in words is "two hundred forty trillion, two hundred fifty-two billion, one hundred forty-two million, five hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 10267 12560 20534 41068 51335 82136 102670 164272 205340 410680 821360 1611919 1863091 3223838 3726182 6447676 7452364 8059595 9315455 12895352 14904728 16119190 18630910 25790704 29809456 32238380 37261820 64476760 74523640 128953520 149047280 292505287 585010574 1170021148 1462526435 2340042296 2925052870 4680084592 5850105740 11700211480 19128355297 23400422960 38256710594 76513421188 95641776485 153026842376 191283552970 306053684752 382567105940 765134211880 1530268423760 3003151781629 6006303563258 12012607126516 15015758908145 24025214253032 30031517816290 48050428506064 60063035632580 120126071265160 240252142530320