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40122528240 = 24351716360331
BaseRepresentation
bin100101010111011111…
…010011000111110000
310211120012121121122110
4211113133103013300
51124132331400430
630233153005320
72620162601664
oct452737230760
9124505547573
1040122528240
111601a137353
127938b53840
133a25583192
141d289848a4
15109c63b7b0
hex9577d31f0

40122528240 has 160 divisors (see below), whose sum is σ = 132506447616. Its totient is φ = 10008023040.

The previous prime is 40122528239. The next prime is 40122528241. The reversal of 40122528240 is 4282522104.

It is an interprime number because it is at equal distance from previous prime (40122528239) and next prime (40122528241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40122528198 and 40122528207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122528241) 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, 634875 + ... + 695205.

Almost surely, 240122528240 is an apocalyptic number.

40122528240 is a gapful number since it is divisible by the number (40) 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 40122528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66253223808).

40122528240 is an abundant number, since it is smaller than the sum of its proper divisors (92383919376).

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

40122528240 is a wasteful number, since it uses less digits than its factorization.

40122528240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60527 (or 60521 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 40122528240 in words is "forty billion, one hundred twenty-two million, five hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 163 170 204 240 255 272 326 340 408 489 510 652 680 815 816 978 1020 1304 1360 1630 1956 2040 2445 2608 2771 3260 3912 4080 4890 5542 6520 7824 8313 9780 11084 13040 13855 16626 19560 22168 27710 33252 39120 41565 44336 55420 60331 66504 83130 110840 120662 133008 166260 180993 221680 241324 301655 332520 361986 482648 603310 665040 723972 904965 965296 1025627 1206620 1447944 1809930 2051254 2413240 2895888 3076881 3619860 4102508 4826480 5128135 6153762 7239720 8205016 9833953 10256270 12307524 14479440 15384405 16410032 19667906 20512540 24615048 29501859 30768810 39335812 41025080 49169765 49230096 59003718 61537620 78671624 82050160 98339530 118007436 123075240 147509295 157343248 167177201 196679060 236014872 246150480 295018590 334354402 393358120 472029744 501531603 590037180 668708804 786716240 835886005 1003063206 1180074360 1337417608 1671772010 2006126412 2360148720 2507658015 2674835216 3343544020 4012252824 5015316030 6687088040 8024505648 10030632060 13374176080 20061264120 40122528240