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34132424150 = 25211237413719
BaseRepresentation
bin11111110010011100…
…110111010111010110
310021002202011210121102
4133302130313113112
51024400400033100
623402532150102
72315555550446
oct376234672726
9107082153542
1034132424150
1113525955500
126746a68332
1332ac5707a6
14191b1d0126
15d4b80acd5
hex7f27375d6

34132424150 has 144 divisors (see below), whose sum is σ = 73436237280. Its totient is φ = 11778624000.

The previous prime is 34132424107. The next prime is 34132424153. The reversal of 34132424150 is 5142423143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132424153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9175991 + ... + 9179709.

It is an arithmetic number, because the mean of its divisors is an integer number (509973870).

Almost surely, 234132424150 is an apocalyptic number.

34132424150 is an abundant number, since it is smaller than the sum of its proper divisors (39303813130).

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

34132424150 is a wasteful number, since it uses less digits than its factorization.

34132424150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 34132424150 its reverse (5142423143), we get a palindrome (39274847293).

The spelling of 34132424150 in words is "thirty-four billion, one hundred thirty-two million, four hundred twenty-four thousand, one hundred fifty".

Divisors: 1 2 5 10 11 22 25 37 41 50 55 74 82 110 121 185 205 242 275 370 407 410 451 550 605 814 902 925 1025 1210 1517 1850 2035 2050 2255 3025 3034 3719 4070 4477 4510 4961 6050 7438 7585 8954 9922 10175 11275 15170 16687 18595 20350 22385 22550 24805 33374 37190 37925 40909 44770 49610 75850 81818 83435 92975 111925 124025 137603 152479 166870 183557 185950 204545 223850 248050 275206 304958 367114 409090 417175 449999 688015 762395 834350 899998 917785 1022725 1376030 1513633 1524790 1677269 1835570 2045450 2249995 3027266 3354538 3440075 3811975 4499990 4588925 5641723 6880150 7568165 7623950 8386345 9177850 11249975 11283446 15136330 16649963 16772690 18449959 22499950 28208615 33299926 36899918 37840825 41931725 56417230 62058953 75681650 83249815 83863450 92249795 124117906 141043075 166499630 184499590 282086150 310294765 416249075 461248975 620589530 682648483 832498150 922497950 1365296966 1551473825 3102947650 3413242415 6826484830 17066212075 34132424150