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442206053265132 = 2232131969991710531
BaseRepresentation
bin110010010001011110001111…
…0101110001110111011101100
32010222201111010011121101121200
41210202330132232032323230
5430430100444113441012
64204254353440525500
7162100222143243432
oct14442743656167354
92128644104541550
10442206053265132
1111899a596864402
124171a5b4620890
1315c98b0c7c4120
147b2ac5c5aad52
15361cbda9073dc
hex1922f1eb8eeec

442206053265132 has 144 divisors (see below), whose sum is σ = 1267160040357120. Its totient is φ = 128900146262400.

The previous prime is 442206053265127. The next prime is 442206053265143. The reversal of 442206053265132 is 231562350602244.

442206053265132 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 0 + 60 + 53 + 26 + 513 + 2 = 666.

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, 622004707 + ... + 622715237.

It is an arithmetic number, because the mean of its divisors is an integer number (8799722502480).

Almost surely, 2442206053265132 is an apocalyptic number.

It is an amenable number.

442206053265132 is an abundant number, since it is smaller than the sum of its proper divisors (824953987091988).

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

442206053265132 is a wasteful number, since it uses less digits than its factorization.

442206053265132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780564 (or 780559 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 442206053265132 in words is "four hundred forty-two trillion, two hundred six billion, fifty-three million, two hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 69991 139982 209973 279964 419946 629919 710531 839892 909883 1259838 1329829 1421062 1819766 2131593 2519676 2659658 2729649 2842124 3639532 3989487 4263186 5319316 5459298 6394779 7978974 8188947 8526372 9236903 10918596 11968461 12789558 13500089 15957948 16377894 17287777 18473806 23936922 25579116 27000178 27710709 32755788 34575554 36947612 40500267 47873844 51863331 54000356 55421418 69151108 81000534 83132127 103726662 110842836 121500801 155589993 162001068 166264254 175501157 207453324 243001602 311179986 332528508 351002314 486003204 526503471 622359972 702004628 1053006942 1579510413 2106013884 3159020826 6318041652 49730775221 99461550442 149192325663 198923100884 298384651326 447576976989 596769302652 646500077873 895153953978 944884729199 1293000155746 1790307907956 1889769458398 1939500233619 2586000311492 2834654187597 3779538916796 3879000467238 5669308375194 5818500700857 7758000934476 8503962562791 11338616750388 11637001401714 12283501479587 17007925125582 23274002803428 24567002959174 34015850251164 36850504438761 49134005918348 73701008877522 110551513316283 147402017755044 221103026632566 442206053265132