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2424142024110 = 234531711359731
BaseRepresentation
bin100011010001101010000…
…111111100110110101110
322120202010121220010010000
4203101222013330312232
5304204120324232420
65053345132325130
7340065333140022
oct43215207746656
98522117803100
102424142024110
11855088a80224
123319943137a6
13147798737481
148548709c382
15430ce0bd690
hex2346a1fcdae

2424142024110 has 160 divisors (see below), whose sum is σ = 6823287465984. Its totient is φ = 616773528000.

The previous prime is 2424142024093. The next prime is 2424142024127. The reversal of 2424142024110 is 114202414242.

2424142024110 is a `hidden beast` number, since 2 + 4 + 2 + 41 + 4 + 202 + 411 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2424142024093) and next prime (2424142024127).

It is a super-2 number, since 2×24241420241102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1102945 + ... + 2462675.

Almost surely, 22424142024110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424142024110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411643732992).

2424142024110 is an abundant number, since it is smaller than the sum of its proper divisors (4399145441874).

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

2424142024110 is a wasteful number, since it uses less digits than its factorization.

2424142024110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359852 (or 1359843 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2424142024110 its reverse (114202414242), we get a palindrome (2538344438352).

The spelling of 2424142024110 in words is "two trillion, four hundred twenty-four billion, one hundred forty-two million, twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 71 81 90 93 135 142 155 162 186 213 270 279 310 355 405 426 465 558 639 710 810 837 930 1065 1278 1395 1674 1917 2130 2201 2511 2790 3195 3834 4185 4402 5022 5751 6390 6603 8370 9585 11005 11502 12555 13206 19170 19809 22010 25110 28755 33015 39618 57510 59427 66030 99045 118854 178281 198090 297135 356562 594270 891405 1359731 1782810 2719462 4079193 6798655 8158386 12237579 13597310 20395965 24475158 36712737 40791930 42151661 61187895 73425474 84303322 96540901 110138211 122375790 126454983 183563685 193081802 210758305 220276422 252909966 289622703 367127370 379364949 421516610 482704505 550691055 579245406 632274915 758729898 868868109 965409010 1101382110 1138094847 1264549830 1448113515 1737736218 1896824745 2276189694 2606604327 2896227030 2992767931 3414284541 3793649490 4344340545 5213208654 5690474235 5985535862 6828569082 7819812981 8688681090 8978303793 11380948470 13033021635 14963839655 15639625962 17071422705 17956607586 26066043270 26934911379 29927679310 34142845410 39099064905 44891518965 53869822758 78198129810 80804734137 89783037930 134674556895 161609468274 242414202411 269349113790 404023670685 484828404822 808047341370 1212071012055 2424142024110