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140434452240 = 24351938537993
BaseRepresentation
bin1000001011001010001…
…0111010111100010000
3111102111010012100011220
42002302202322330100
54300102204432430
6144303101405040
713101045101625
oct2026242727420
9442433170156
10140434452240
1154615650585
1223273269780
13103208a6c24
146b2320034c
1539bde3d110
hex20b28baf10

140434452240 has 160 divisors (see below), whose sum is σ = 458436074880. Its totient is φ = 35464531968.

The previous prime is 140434452229. The next prime is 140434452247. The reversal of 140434452240 is 42254434041.

It is not an unprimeable number, because it can be changed into a prime (140434452247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17565684 + ... + 17573676.

It is an arithmetic number, because the mean of its divisors is an integer number (2865225468).

Almost surely, 2140434452240 is an apocalyptic number.

140434452240 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 140434452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229218037440).

140434452240 is an abundant number, since it is smaller than the sum of its proper divisors (318001622640).

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

140434452240 is a wasteful number, since it uses less digits than its factorization.

140434452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 140434452240 its reverse (42254434041), we get a palindrome (182688886281).

The spelling of 140434452240 in words is "one hundred forty billion, four hundred thirty-four million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 3853 4560 7706 7993 11559 15412 15986 19265 23118 23979 30824 31972 38530 39965 46236 47958 57795 61648 63944 73207 77060 79930 92472 95916 115590 119895 127888 146414 151867 154120 159860 184944 191832 219621 231180 239790 292828 303734 308240 319720 366035 383664 439242 455601 462360 479580 585656 607468 639440 732070 759335 878484 911202 924720 959160 1098105 1171312 1214936 1464140 1518670 1756968 1822404 1918320 2196210 2278005 2429872 2928280 3037340 3513936 3644808 4392420 4556010 5856560 6074680 7289616 8784840 9112020 12149360 17569680 18224040 30797029 36448080 61594058 92391087 123188116 153985145 184782174 246376232 307970290 369564348 461955435 492752464 585143551 615940580 739128696 923910870 1170287102 1231881160 1478257392 1755430653 1847821740 2340574204 2463762320 2925717755 3510861306 3695643480 4681148408 5851435510 7021722612 7391286960 8777153265 9362296816 11702871020 14043445224 17554306530 23405742040 28086890448 35108613060 46811484080 70217226120 140434452240