Search a number
-
+
544141032240 = 243513592956003
BaseRepresentation
bin1111110101100010101…
…01010011101100110000
31221000112010100111001110
413322301111103230300
532403400101012430
61053550330433320
754212215313421
oct7726125235460
91830463314043
10544141032240
1119a850477333
128955b892840
133c40a100b70
141c49d777648
15e24ae4c7b0
hex7eb1553b30

544141032240 has 160 divisors (see below), whose sum is σ = 1847384259840. Its totient is φ = 131672153088.

The previous prime is 544141032223. The next prime is 544141032247. The reversal of 544141032240 is 42230141445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 544141032198 and 544141032207.

It is not an unprimeable number, because it can be changed into a prime (544141032247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293922 + ... + 1662081.

It is an arithmetic number, because the mean of its divisors is an integer number (11546151624).

Almost surely, 2544141032240 is an apocalyptic number.

It is an amenable number.

544141032240 is an abundant number, since it is smaller than the sum of its proper divisors (1303243227600).

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

544141032240 is a wasteful number, since it uses less digits than its factorization.

544141032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956091 (or 2956085 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 544141032240 its reverse (42230141445), we get a palindrome (586371173685).

The spelling of 544141032240 in words is "five hundred forty-four billion, one hundred forty-one million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 177 195 208 236 240 260 295 312 354 390 472 520 590 624 708 767 780 885 944 1040 1180 1416 1534 1560 1770 2301 2360 2832 3068 3120 3540 3835 4602 4720 6136 7080 7670 9204 11505 12272 14160 15340 18408 23010 30680 36816 46020 61360 92040 184080 2956003 5912006 8868009 11824012 14780015 17736018 23648024 29560030 35472036 38428039 44340045 47296048 59120060 70944072 76856078 88680090 115284117 118240120 141888144 153712156 174404177 177360180 192140195 230568234 236480240 307424312 348808354 354720360 384280390 461136468 523212531 576420585 614848624 697616708 709440720 768560780 872020885 922272936 1046425062 1152841170 1395233416 1537121560 1744041770 1844545872 2092850124 2267254301 2305682340 2616062655 2790466832 3074243120 3488083540 4185700248 4534508602 4611364680 5232125310 6801762903 6976167080 8371400496 9069017204 9222729360 10464250620 11336271505 13603525806 13952334160 18138034408 20928501240 22672543010 27207051612 34008814515 36276068816 41857002480 45345086020 54414103224 68017629030 90690172040 108828206448 136035258060 181380344080 272070516120 544141032240