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74314438000 = 2453117346273
BaseRepresentation
bin100010100110101111…
…1000101010101110000
321002211002201121011121
41011031133011111300
52204143444004000
654050052152024
75240403205045
oct1051537052560
9232732647147
1074314438000
1129575621210
121249b908614
13701425074a
14384da1b1cc
151dee297b1a
hex114d7c5570

74314438000 has 160 divisors (see below), whose sum is σ = 198717584832. Its totient is φ = 26652672000.

The previous prime is 74314437979. The next prime is 74314438007. The reversal of 74314438000 is 83441347.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74314438007) 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, 1582864 + ... + 1629136.

Almost surely, 274314438000 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 74314438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99358792416).

74314438000 is an abundant number, since it is smaller than the sum of its proper divisors (124403146832).

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

74314438000 is a wasteful number, since it uses less digits than its factorization.

74314438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46380 (or 46364 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 74314438000 its reverse (83441347), we get a palindrome (74397879347).

The spelling of 74314438000 in words is "seventy-four billion, three hundred fourteen million, four hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 73 80 88 100 110 125 146 176 200 220 250 275 292 365 400 440 500 550 584 730 803 880 1000 1100 1168 1375 1460 1606 1825 2000 2200 2750 2920 3212 3650 4015 4400 5500 5840 6424 7300 8030 9125 11000 12848 14600 16060 18250 20075 22000 29200 32120 36500 40150 46273 64240 73000 80300 92546 100375 146000 160600 185092 200750 231365 321200 370184 401500 462730 509003 740368 803000 925460 1018006 1156825 1606000 1850920 2036012 2313650 2545015 3377929 3701840 4072024 4627300 5090030 5784125 6755858 8144048 9254600 10180060 11568250 12725075 13511716 16889645 18509200 20360120 23136500 25450150 27023432 33779290 37157219 40720240 46273000 50900300 54046864 63625375 67558580 74314438 84448225 92546000 101800600 127250750 135117160 148628876 168896450 185786095 203601200 254501500 270234320 297257752 337792900 371572190 422241125 509003000 594515504 675585800 743144380 844482250 928930475 1018006000 1351171600 1486288760 1688964500 1857860950 2972577520 3377929000 3715721900 4644652375 6755858000 7431443800 9289304750 14862887600 18578609500 37157219000 74314438000