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121042433144 = 23193783349743
BaseRepresentation
bin111000010111010110…
…0001111010001111000
3102120102122200200221102
41300232230033101320
53440343330330034
6131334531230532
711513354464043
oct1605654172170
9376378620842
10121042433144
1147374330616
121b560a48448
13b550160709
145c0397bc5a
15323676997e
hex1c2eb0f478

121042433144 has 128 divisors (see below), whose sum is σ = 249359040000. Its totient is φ = 54882261504.

The previous prime is 121042433111. The next prime is 121042433173. The reversal of 121042433144 is 441334240121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162910037 + ... + 162910779.

It is an arithmetic number, because the mean of its divisors is an integer number (1948117500).

Almost surely, 2121042433144 is an apocalyptic number.

It is an amenable number.

121042433144 is an abundant number, since it is smaller than the sum of its proper divisors (128316606856).

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

121042433144 is a wasteful number, since it uses less digits than its factorization.

121042433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 121042433144 its reverse (441334240121), we get a palindrome (562376673265).

The spelling of 121042433144 in words is "one hundred twenty-one billion, forty-two million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 37 38 74 76 83 148 152 166 296 332 349 664 698 703 743 1396 1406 1486 1577 2792 2812 2972 3071 3154 5624 5944 6142 6308 6631 12284 12616 12913 13262 14117 24568 25826 26524 27491 28234 28967 51652 53048 54982 56468 57934 58349 61669 103304 109964 112936 115868 116698 123338 219928 231736 233396 245347 246676 259307 466792 490694 493352 518614 522329 550373 981388 1037228 1044658 1071779 1100746 1171711 1962776 2074456 2089316 2143558 2201492 2281753 2343422 4178632 4287116 4402984 4563506 4686844 4926833 8574232 9127012 9373688 9594359 9853666 18254024 19188718 19707332 20363801 21522481 38377436 39414664 40727602 43044962 43353307 76754872 81455204 86089924 86706614 162910408 172179848 173413228 182292821 346826456 364585642 408927139 729171284 796331797 817854278 1458342568 1592663594 1635708556 3185327188 3271417112 6370654376 15130304143 30260608286 60521216572 121042433144