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4402211313040 = 245437119791493
BaseRepresentation
bin100000000001111100000…
…1111011101010110010000
3120120211212200020102010221
41000003320033131112100
51034111212044004130
613210203054202424
7633022620521662
oct100037017352620
916524780212127
104402211313040
111447a70580202
125b12177b3414
1325c1855c9818
141130d5086532
15797a1aa787a
hex400f83dd590

4402211313040 has 160 divisors (see below), whose sum is σ = 10674705989376. Its totient is φ = 1687083202560.

The previous prime is 4402211313001. The next prime is 4402211313061. The reversal of 4402211313040 is 403131122044.

It is a junction number, because it is equal to n+sod(n) for n = 4402211312996 and 4402211313014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48069534 + ... + 48161026.

Almost surely, 24402211313040 is an apocalyptic number.

4402211313040 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 4402211313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337352994688).

4402211313040 is an abundant number, since it is smaller than the sum of its proper divisors (6272494676336).

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

4402211313040 is a wasteful number, since it uses less digits than its factorization.

4402211313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91817 (or 91811 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4402211313040 its reverse (403131122044), we get a palindrome (4805342435084).

The spelling of 4402211313040 in words is "four trillion, four hundred two billion, two hundred eleven million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 71 80 86 142 172 197 215 284 344 355 394 430 568 688 710 788 860 985 1136 1420 1576 1720 1970 2840 3053 3152 3440 3940 5680 6106 7880 8471 12212 13987 15265 15760 16942 24424 27974 30530 33884 42355 48848 55948 61060 67768 69935 84710 91493 111896 122120 135536 139870 169420 182986 223792 244240 279740 338840 365972 457465 559480 601441 677680 731944 914930 1118960 1202882 1463888 1829860 2405764 3007205 3659720 3934199 4811528 6014410 6496003 7319440 7868398 9623056 12028820 12992006 15736796 18024121 19670995 24057640 25984012 31473592 32480015 36048242 39341990 48115280 51968024 62947184 64960030 72096484 78683980 90120605 103936048 129920060 144192968 157367960 180241210 259840120 279328129 288385936 314735920 360482420 519680240 558656258 720964840 775037203 1117312516 1279712591 1396640645 1441929680 1550074406 2234625032 2559425182 2793281290 3100148812 3875186015 4469250064 5118850364 5586562580 6200297624 6398562955 7750372030 10237700728 11173125160 12400595248 12797125910 15500744060 20475401456 22346250320 25594251820 31001488120 51188503640 55027641413 62002976240 102377007280 110055282826 220110565652 275138207065 440221131304 550276414130 880442262608 1100552828260 2201105656520 4402211313040