Search a number
-
+
70041445920 = 25325271179483
BaseRepresentation
bin100000100111011001…
…0111010011000100000
320200210022100002222200
41001032302322120200
52121421102232140
652102051133200
75026456316145
oct1011662723040
9220708302880
1070041445920
112778262aaa6
12116a88a4200
1367b2bc9374
1435663243cc
151c4e09b030
hex104ecba620

70041445920 has 144 divisors (see below), whose sum is σ = 239899750272. Its totient is φ = 18608693760.

The previous prime is 70041445919. The next prime is 70041445933. The reversal of 70041445920 is 2954414007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300499 + ... + 479981.

It is an arithmetic number, because the mean of its divisors is an integer number (1665970488).

Almost surely, 270041445920 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 70041445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119949875136).

70041445920 is an abundant number, since it is smaller than the sum of its proper divisors (169858304352).

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

70041445920 is a wasteful number, since it uses less digits than its factorization.

70041445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179775 (or 179764 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 70041445920 its reverse (2954414007), we get a palindrome (72995859927).

The spelling of 70041445920 in words is "seventy billion, forty-one million, four hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 271 288 360 480 542 720 813 1084 1355 1440 1626 2168 2439 2710 3252 4065 4336 4878 5420 6504 8130 8672 9756 10840 12195 13008 16260 19512 21680 24390 26016 32520 39024 43360 48780 65040 78048 97560 130080 179483 195120 358966 390240 538449 717932 897415 1076898 1435864 1615347 1794830 2153796 2692245 2871728 3230694 3589660 4307592 5384490 5743456 6461388 7179320 8076735 8615184 10768980 12922776 14358640 16153470 17230368 21537960 25845552 28717280 32306940 43075920 48639893 51691104 64613880 86151840 97279786 129227760 145919679 194559572 243199465 258455520 291839358 389119144 437759037 486398930 583678716 729598395 778238288 875518074 972797860 1167357432 1459196790 1556476576 1751036148 1945595720 2188795185 2334714864 2918393580 3502072296 3891191440 4377590370 4669429728 5836787160 7004144592 7782382880 8755180740 11673574320 14008289184 17510361480 23347148640 35020722960 70041445920