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34044150144 = 273194666139
BaseRepresentation
bin11111101101001100…
…001000000110000000
310020212121002000102210
4133231030020012000
51024210300301034
623350100142120
72313434334024
oct375514100600
9106777060383
1034044150144
1113490042984
126721397940
1332971a4354
14190d5b2384
15d43bc08e9
hex7ed308180

34044150144 has 64 divisors (see below), whose sum is σ = 95189256000. Its totient is φ = 10750781952.

The previous prime is 34044150131. The next prime is 34044150167. The reversal of 34044150144 is 44105144043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2325774 + ... + 2340365.

It is an arithmetic number, because the mean of its divisors is an integer number (1487332125).

Almost surely, 234044150144 is an apocalyptic number.

It is an amenable number.

34044150144 is an abundant number, since it is smaller than the sum of its proper divisors (61145105856).

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

34044150144 is a wasteful number, since it uses less digits than its factorization.

34044150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666175 (or 4666163 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 34044150144 its reverse (44105144043), we get a palindrome (78149294187).

The spelling of 34044150144 in words is "thirty-four billion, forty-four million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 4666139 9332278 13998417 18664556 27996834 37329112 55993668 74658224 88656641 111987336 149316448 177313282 223974672 265969923 298632896 354626564 447949344 531939846 597265792 709253128 895898688 1063879692 1418506256 1791797376 2127759384 2837012512 4255518768 5674025024 8511037536 11348050048 17022075072 34044150144