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120442111534044 = 223231596727301553
BaseRepresentation
bin11011011000101010011101…
…010001100010001111011100
3120210110011010211121222121100
4123120222131101202033130
5111241310421023042134
61104054201525233100
734240440542211666
oct3330523521421734
9523404124558540
10120442111534044
1135416238050403
12116125a3562790
1352288474162a1
1421a560200d536
15ddce980ca999
hex6d8a9d4623dc

120442111534044 has 144 divisors (see below), whose sum is σ = 324368671011840. Its totient is φ = 37623722780160.

The previous prime is 120442111534027. The next prime is 120442111534061. The reversal of 120442111534044 is 440435111244021.

120442111534044 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 2 + 111 + 534 + 0 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (120442111534027) and next prime (120442111534061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9239229 + ... + 18062324.

It is an arithmetic number, because the mean of its divisors is an integer number (2252560215360).

Almost surely, 2120442111534044 is an apocalyptic number.

It is an amenable number.

120442111534044 is an abundant number, since it is smaller than the sum of its proper divisors (203926559477796).

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

120442111534044 is a wasteful number, since it uses less digits than its factorization.

120442111534044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27301720 (or 27301715 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 120442111534044 its reverse (440435111244021), we get a palindrome (560877222778065).

The spelling of 120442111534044 in words is "one hundred twenty trillion, four hundred forty-two billion, one hundred eleven million, five hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 67 93 118 124 134 177 186 201 236 268 279 354 372 402 531 558 603 708 804 1062 1116 1206 1829 2077 2124 2412 3658 3953 4154 5487 6231 7316 7906 8308 10974 11859 12462 15812 16461 18693 21948 23718 24924 32922 35577 37386 47436 65844 71154 74772 122543 142308 245086 367629 490172 735258 1102887 1470516 2205774 4411548 27301553 54603106 81904659 109206212 163809318 245713977 327618636 491427954 846348143 982855908 1610791627 1692696286 1829204051 2539044429 3221583254 3385392572 3658408102 4832374881 5078088858 5487612153 6443166508 7316816204 7617133287 9664749762 10156177716 10975224306 14497124643 15234266574 16462836459 19329499524 21950448612 28994249286 30468533148 32925672918 49934540437 56705325581 57988498572 65851345836 99869080874 107923039009 113410651162 149803621311 170115976743 199738161748 215846078018 226821302324 299607242622 323769117027 340231953486 431692156036 449410863933 510347930229 599214485244 647538234054 680463906972 898821727866 971307351081 1020695860458 1295076468108 1797643455732 1942614702162 2041391720916 3345614209279 3885229404324 6691228418558 10036842627837 13382456837116 20073685255674 30110527883511 40147370511348 60221055767022 120442111534044