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10422021440 = 265319710831
BaseRepresentation
bin10011011010011001…
…10110110101000000
3222220022212112201002
421231030312311000
5132321014141230
64442100031132
7516160502105
oct115514666500
928808775632
1010422021440
114468a60a66
12202a3924a8
13ca126c2bc
1470c21aaac
1540ee71545
hex26d336d40

10422021440 has 112 divisors (see below), whose sum is σ = 25884493824. Its totient is φ = 3992371200.

The previous prime is 10422021437. The next prime is 10422021457. The reversal of 10422021440 is 4412022401.

It is a super-3 number, since 3×104220214403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956825 + ... + 967655.

It is an arithmetic number, because the mean of its divisors is an integer number (231111552).

Almost surely, 210422021440 is an apocalyptic number.

10422021440 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 10422021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942246912).

10422021440 is an abundant number, since it is smaller than the sum of its proper divisors (15462472384).

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

10422021440 is a wasteful number, since it uses less digits than its factorization.

10422021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10976 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10422021440 its reverse (4412022401), we get a palindrome (14834043841).

The spelling of 10422021440 in words is "ten billion, four hundred twenty-two million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 97 124 155 160 194 248 310 320 388 485 496 620 776 970 992 1240 1552 1940 1984 2480 3007 3104 3880 4960 6014 6208 7760 9920 10831 12028 15035 15520 21662 24056 30070 31040 43324 48112 54155 60140 86648 96224 108310 120280 173296 192448 216620 240560 335761 346592 433240 481120 671522 693184 866480 962240 1050607 1343044 1678805 1732960 2101214 2686088 3357610 3465920 4202428 5253035 5372176 6715220 8404856 10506070 10744352 13430440 16809712 21012140 21488704 26860880 32568817 33619424 42024280 53721760 65137634 67238848 84048560 107443520 130275268 162844085 168097120 260550536 325688170 336194240 521101072 651376340 1042202144 1302752680 2084404288 2605505360 5211010720 10422021440