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114542222055520 = 2557225315772413
BaseRepresentation
bin11010000010110011110000…
…011101010001100001100000
3120000120010111101200211220211
4122002303300131101201200
5110003124432321234040
61043335545334143504
733061255020122200
oct3202636035214140
9500503441624824
10114542222055520
11335510a1271516
1210a1b0724b1b94
134bbb39275175c
14203dc31c10400
15d3978ce0e8ea
hex682cf0751860

114542222055520 has 144 divisors (see below), whose sum is σ = 314910997935408. Its totient is φ = 39256095943680.

The previous prime is 114542222055517. The next prime is 114542222055533. The reversal of 114542222055520 is 25550222245411.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 16956834 + ... + 22729246.

It is an arithmetic number, because the mean of its divisors is an integer number (2186881930107).

Almost surely, 2114542222055520 is an apocalyptic number.

114542222055520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114542222055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157455498967704).

114542222055520 is an abundant number, since it is smaller than the sum of its proper divisors (200368775879888).

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

114542222055520 is a wasteful number, since it uses less digits than its factorization.

114542222055520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774973 (or 5774958 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 114542222055520 in words is "one hundred fourteen trillion, five hundred forty-two billion, two hundred twenty-two million, fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 2531 3920 5062 7840 10124 12655 17717 20248 25310 35434 40496 50620 70868 80992 88585 101240 124019 141736 177170 202480 248038 283472 354340 404960 496076 566944 620095 708680 992152 1240190 1417360 1984304 2480380 2834720 3968608 4960760 5772413 9921520 11544826 19843040 23089652 28862065 40406891 46179304 57724130 80813782 92358608 115448260 161627564 184717216 202034455 230896520 282848237 323255128 404068910 461793040 565696474 646510256 808137820 923586080 1131392948 1293020512 1414241185 1616275640 2262785896 2828482370 3232551280 4525571792 5656964740 6465102560 9051143584 11313929480 14609977303 22627858960 29219954606 45255717920 58439909212 73049886515 102269841121 116879818424 146099773030 204539682242 233759636848 292199546060 409079364484 467519273696 511349205605 584399092120 715888887847 818158728968 1022698411210 1168798184240 1431777775694 1636317457936 2045396822420 2337596368480 2863555551388 3272634915872 3579444439235 4090793644840 5727111102776 7158888878470 8181587289680 11454222205552 14317777756940 16363174579360 22908444411104 28635555513880 57271111027760 114542222055520