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142436931280 = 24572912769061
BaseRepresentation
bin1000010010100111100…
…1110001011011010000
3111121122200012211000021
42010221321301123100
54313202323300110
6145233513433224
713201501640140
oct2045171613320
9447580184007
10142436931280
1155452a30736
1223731a0b814
131057c70b777
146c73142920
153a89b402da
hex2129e716d0

142436931280 has 160 divisors (see below), whose sum is σ = 394614743040. Its totient is φ = 46779586560.

The previous prime is 142436931269. The next prime is 142436931281. The reversal of 142436931280 is 82139634241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142436931281) 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, 2027950 + ... + 2097010.

It is an arithmetic number, because the mean of its divisors is an integer number (2466342144).

Almost surely, 2142436931280 is an apocalyptic number.

142436931280 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 142436931280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197307371520).

142436931280 is an abundant number, since it is smaller than the sum of its proper divisors (252177811760).

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

142436931280 is a wasteful number, since it uses less digits than its factorization.

142436931280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69237 (or 69231 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 142436931280 in words is "one hundred forty-two billion, four hundred thirty-six million, nine hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 127 140 145 203 232 254 280 290 406 464 508 560 580 635 812 889 1015 1016 1160 1270 1624 1778 2030 2032 2320 2540 3248 3556 3683 4060 4445 5080 7112 7366 8120 8890 10160 14224 14732 16240 17780 18415 25781 29464 35560 36830 51562 58928 69061 71120 73660 103124 128905 138122 147320 206248 257810 276244 294640 345305 412496 483427 515620 552488 690610 966854 1031240 1104976 1381220 1933708 2002769 2062480 2417135 2762440 3867416 4005538 4834270 5524880 7734832 8011076 8770747 9668540 10013845 14019383 16022152 17541494 19337080 20027690 28038766 32044304 35082988 38674160 40055380 43853735 56077532 61395229 70096915 70165976 80110760 87707470 112155064 122790458 140193830 140331952 160221520 175414940 224310128 245580916 254351663 280387660 306976145 350829880 491161832 508703326 560775320 613952290 701659760 982323664 1017406652 1121550640 1227904580 1271758315 1780461641 2034813304 2455809160 2543516630 3560923282 4069626608 4911618320 5087033260 7121846564 8902308205 10174066520 14243693128 17804616410 20348133040 28487386256 35609232820 71218465640 142436931280