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74133411440 = 24511267731469
BaseRepresentation
bin100010100001010110…
…0100001011001110000
321002100111002111102012
41011002230201121300
52203311123131230
654020104142052
75233044412604
oct1050254413160
9232314074365
1074133411440
1129492418290
121244b167928
136cb58aa53a
143833977504
151ddd43a395
hex1142b21670

74133411440 has 80 divisors (see below), whose sum is σ = 188105505120. Its totient is φ = 26946677760.

The previous prime is 74133411437. The next prime is 74133411533. The reversal of 74133411440 is 4411433147.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 74133411397 and 74133411406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2340026 + ... + 2371494.

It is an arithmetic number, because the mean of its divisors is an integer number (2351318814).

Almost surely, 274133411440 is an apocalyptic number.

It is an amenable number.

74133411440 is an abundant number, since it is smaller than the sum of its proper divisors (113972093680).

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

74133411440 is a wasteful number, since it uses less digits than its factorization.

74133411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34170 (or 34164 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 74133411440 its reverse (4411433147), we get a palindrome (78544844587).

The spelling of 74133411440 in words is "seventy-four billion, one hundred thirty-three million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2677 5354 10708 13385 21416 26770 29447 31469 42832 53540 58894 62938 107080 117788 125876 147235 157345 214160 235576 251752 294470 314690 346159 471152 503504 588940 629380 692318 1177880 1258760 1384636 1730795 2355760 2517520 2769272 3461590 5538544 6923180 13846360 27692720 84242513 168485026 336970052 421212565 673940104 842425130 926667643 1347880208 1684850260 1853335286 3369700520 3706670572 4633338215 6739401040 7413341144 9266676430 14826682288 18533352860 37066705720 74133411440