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10404114322000 = 245377310180151
BaseRepresentation
bin1001011101100110010110…
…0010011101001001010000
31100211121211121121211120111
42113121211202131021100
52330430111231301000
634043330101251104
72122446436404220
oct227314542351120
940747747554514
1010404114322000
1133513a6333433
121200478a03a94
135a6146ca4909
1427d7c18c4080
1513097cb44cba
hex9766589d250

10404114322000 has 160 divisors (see below), whose sum is σ = 29144879322624. Its totient is φ = 3518259840000.

The previous prime is 10404114321971. The next prime is 10404114322033. The reversal of 10404114322000 is 22341140401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4068076 + ... + 6112075.

Almost surely, 210404114322000 is an apocalyptic number.

10404114322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404114322000 is an abundant number, since it is smaller than the sum of its proper divisors (18740765000624).

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

10404114322000 is a wasteful number, since it uses less digits than its factorization.

10404114322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180254 (or 10180238 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10404114322000 its reverse (22341140401), we get a palindrome (10426455462401).

The spelling of 10404114322000 in words is "ten trillion, four hundred four billion, one hundred fourteen million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 73 80 100 112 125 140 146 175 200 250 280 292 350 365 400 500 511 560 584 700 730 875 1000 1022 1168 1400 1460 1750 1825 2000 2044 2555 2800 2920 3500 3650 4088 5110 5840 7000 7300 8176 9125 10220 12775 14000 14600 18250 20440 25550 29200 36500 40880 51100 63875 73000 102200 127750 146000 204400 255500 511000 1022000 10180151 20360302 40720604 50900755 71261057 81441208 101801510 142522114 162882416 203603020 254503775 285044228 356305285 407206040 509007550 570088456 712610570 743151023 814412080 1018015100 1140176912 1272518875 1425221140 1486302046 1781526425 2036030200 2545037750 2850442280 2972604092 3563052850 3715755115 4072060400 5090075500 5202057161 5700884560 5945208184 7126105700 7431510230 8907632125 10180151000 10404114322 11890416368 14252211400 14863020460 17815264250 18578775575 20360302000 20808228644 26010285805 28504422800 29726040920 35630528500 37157551150 41616457288 52020571610 59452081840 71261057000 74315102300 83232914576 92893877875 104041143220 130051429025 142522114000 148630204600 185787755750 208082286440 260102858050 297260409200 371575511500 416164572880 520205716100 650257145125 743151023000 1040411432200 1300514290250 1486302046000 2080822864400 2601028580500 5202057161000 10404114322000