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10422054040 = 23519411931733
BaseRepresentation
bin10011011010011001…
…11110110010011000
3222220022221012102111
421231030332302120
5132321021212130
64442100442104
7516160666126
oct115514766230
928808835374
1010422054040
114468a83502
12202a3a9334
13ca12810a8
1470c228916
1540ee7b02a
hex26d33ec98

10422054040 has 128 divisors (see below), whose sum is σ = 25431537600. Its totient is φ = 3830906880.

The previous prime is 10422054023. The next prime is 10422054047. The reversal of 10422054040 is 4045022401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422054047) 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, 6013014 + ... + 6014746.

Almost surely, 210422054040 is an apocalyptic number.

10422054040 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 10422054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715768800).

10422054040 is an abundant number, since it is smaller than the sum of its proper divisors (15009483560).

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

10422054040 is a wasteful number, since it uses less digits than its factorization.

10422054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10422054040 its reverse (4045022401), we get a palindrome (14467076441).

The spelling of 10422054040 in words is "ten billion, four hundred twenty-two million, fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 193 205 328 380 386 410 760 772 779 820 965 1544 1558 1640 1733 1930 3116 3466 3667 3860 3895 6232 6932 7334 7720 7790 7913 8665 13864 14668 15580 15826 17330 18335 29336 31160 31652 32927 34660 36670 39565 63304 65854 69320 71053 73340 79130 131708 142106 146680 150347 158260 164635 263416 284212 300694 316520 329270 334469 355265 568424 601388 658540 668938 710530 751735 1202776 1317080 1337876 1350007 1421060 1503470 1672345 2675752 2700014 2842120 3006940 3344690 5400028 6013880 6354911 6689380 6750035 10800056 12709822 13378760 13500070 13713229 25419644 27000140 27426458 31774555 50839288 54000280 54852916 63549110 68566145 109705832 127098220 137132290 254196440 260551351 274264580 521102702 548529160 1042205404 1302756755 2084410808 2605513510 5211027020 10422054040