Search a number
-
+
41074424720 = 24571492112333
BaseRepresentation
bin100110010000001110…
…011111101110010000
310221000112202222010122
4212100032133232100
51133110023042340
630511435245412
72652601564250
oct462016375620
9127015688118
1041074424720
111646849525a
127b638a9868
133b4784a234
141db916d960
151105eb9db5
hex99039fb90

41074424720 has 160 divisors (see below), whose sum is σ = 110441145600. Its totient is φ = 13915883520.

The previous prime is 41074424707. The next prime is 41074424731. The reversal of 41074424720 is 2742447014.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17604674 + ... + 17607006.

It is an arithmetic number, because the mean of its divisors is an integer number (690257160).

Almost surely, 241074424720 is an apocalyptic number.

41074424720 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 41074424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55220572800).

41074424720 is an abundant number, since it is smaller than the sum of its proper divisors (69366720880).

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

41074424720 is a wasteful number, since it uses less digits than its factorization.

41074424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 35.

The spelling of 41074424720 in words is "forty-one billion, seventy-four million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 149 211 280 298 422 560 596 745 844 1043 1055 1192 1477 1490 1688 2086 2110 2333 2384 2954 2980 3376 4172 4220 4666 5215 5908 5960 7385 8344 8440 9332 10430 11665 11816 11920 14770 16331 16688 16880 18664 20860 23330 23632 29540 31439 32662 37328 41720 46660 59080 62878 65324 81655 83440 93320 118160 125756 130648 157195 163310 186640 220073 251512 261296 314390 326620 347617 440146 492263 503024 628780 653240 695234 880292 984526 1100365 1257560 1306480 1390468 1738085 1760584 1969052 2200730 2433319 2461315 2515120 2780936 3445841 3476170 3521168 3938104 4401460 4866638 4922630 5561872 6891682 6952340 7876208 8802920 9733276 9845260 12166595 13783364 13904680 17229205 17605840 19466552 19690520 24333190 27566728 27809360 34458410 38933104 39381040 48666380 55133456 68916820 73347187 97332760 137833640 146694374 194665520 275667280 293388748 366735935 513430309 586777496 733471870 1026860618 1173554992 1466943740 2053721236 2567151545 2933887480 4107442472 5134303090 5867774960 8214884944 10268606180 20537212360 41074424720