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40021121420 = 2257273739757
BaseRepresentation
bin100101010001011100…
…011101100110001100
310211022010210121122022
4211101130131212030
51123430401341140
630215131305312
72614521630200
oct452134354614
9124263717568
1040021121420
1115a77974965
12790abab238
133a0a569247
141d19308b00
1510937aa0b5
hex95171d98c

40021121420 has 144 divisors (see below), whose sum is σ = 99370343520. Its totient is φ = 13497394176.

The previous prime is 40021121419. The next prime is 40021121423. The reversal of 40021121420 is 2412112004.

It is not an unprimeable number, because it can be changed into a prime (40021121423) 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 47 ways as a sum of consecutive naturals, for example, 52867682 + ... + 52868438.

It is an arithmetic number, because the mean of its divisors is an integer number (690071830).

Almost surely, 240021121420 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 40021121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49685171760).

40021121420 is an abundant number, since it is smaller than the sum of its proper divisors (59349222100).

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

40021121420 is a wasteful number, since it uses less digits than its factorization.

40021121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 40021121420 its reverse (2412112004), we get a palindrome (42433233424).

The spelling of 40021121420 in words is "forty billion, twenty-one million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 739 757 980 1022 1460 1478 1514 2044 2555 2956 3028 3577 3695 3785 5110 5173 5299 7154 7390 7570 10220 10346 10598 14308 14780 15140 17885 20692 21196 25865 26495 35770 36211 37093 51730 52990 53947 55261 71540 72422 74186 103460 105980 107894 110522 144844 148372 181055 185465 215788 221044 269735 276305 362110 370930 377629 386827 539470 552610 559423 724220 741860 755258 773654 1078940 1105220 1118846 1510516 1547308 1888145 1934135 2237692 2643403 2707789 2797115 3776290 3868270 3915961 5286806 5415578 5594230 7552580 7736540 7831922 10573612 10831156 11188460 13217015 13538945 15663844 19579805 26434030 27077890 27411727 39159610 40837879 52868060 54155780 54823454 78319220 81675758 109646908 137058635 163351516 204189395 274117270 285865153 408378790 548234540 571730306 816757580 1143460612 1429325765 2001056071 2858651530 4002112142 5717303060 8004224284 10005280355 20010560710 40021121420