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140537255664 = 2431317113117241
BaseRepresentation
bin1000001011100010101…
…1000101011011110000
3111102202021122021222010
42002320223011123300
54300310014140124
6144321213042520
713103433651231
oct2027053053360
9442667567863
10140537255664
1154668687293
12232a1786440
1310338c8c760
146b32b21088
1539c7e98529
hex20b8ac56f0

140537255664 has 160 divisors (see below), whose sum is σ = 417647893824. Its totient is φ = 40338063360.

The previous prime is 140537255641. The next prime is 140537255669. The reversal of 140537255664 is 466552735041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140537255669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140084 + ... + 1257324.

Almost surely, 2140537255664 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 140537255664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208823946912).

140537255664 is an abundant number, since it is smaller than the sum of its proper divisors (277110638160).

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

140537255664 is a wasteful number, since it uses less digits than its factorization.

140537255664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117395 (or 117389 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 140537255664 in words is "one hundred forty billion, five hundred thirty-seven million, two hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 113 136 156 204 208 221 226 272 312 339 408 442 452 624 663 678 816 884 904 1326 1356 1469 1768 1808 1921 2652 2712 2938 3536 3842 4407 5304 5424 5763 5876 7684 8814 10608 11526 11752 15368 17628 23052 23504 24973 30736 35256 46104 49946 70512 74919 92208 99892 117241 149838 199784 234482 299676 351723 399568 468964 599352 703446 937928 1198704 1406892 1524133 1875856 1993097 2813784 3048266 3986194 4572399 5627568 5979291 6096532 7972388 9144798 11958582 12193064 13248233 15944776 18289596 23917164 24386128 25910261 26496466 31889552 36579192 39744699 47834328 51820522 52992932 73158384 77730783 79489398 95668656 103641044 105985864 155461566 158978796 172227029 207282088 211971728 225219961 310923132 317957592 344454058 414564176 450439922 516681087 621846264 635915184 675659883 688908116 900879844 1033362174 1243692528 1351319766 1377816232 1801759688 2066724348 2702639532 2755632464 2927859493 3603519376 4133448696 5405279064 5855718986 8266897392 8783578479 10810558128 11711437972 17567156958 23422875944 35134313916 46845751888 70268627832 140537255664