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4430242253100 = 22352194118956963
BaseRepresentation
bin100000001110111111100…
…0001000000100100101100
3120200112020012101201002010
41000131333001000210230
51040041114004044400
613231120350401220
7635034350551206
oct100357701004454
916615205351063
104430242253100
11145894528a374
125b673b200210
13261a01a5b3a1
141145d3bab776
157a3928d1450
hex4077f04092c

4430242253100 has 144 divisors (see below), whose sum is σ = 13821901591680. Its totient is φ = 1091921011200.

The previous prime is 4430242253083. The next prime is 4430242253167. The reversal of 4430242253100 is 13522420344.

It is a super-2 number, since 2×44302422531002 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9244782 + ... + 9712181.

It is an arithmetic number, because the mean of its divisors is an integer number (95985427720).

Almost surely, 24430242253100 is an apocalyptic number.

It is an amenable number.

4430242253100 is an abundant number, since it is smaller than the sum of its proper divisors (9391659338580).

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

4430242253100 is a wasteful number, since it uses less digits than its factorization.

4430242253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18957040 (or 18957033 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 4430242253100 its reverse (13522420344), we get a palindrome (4443764673444).

The spelling of 4430242253100 in words is "four trillion, four hundred thirty billion, two hundred forty-two million, two hundred fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 41 50 57 60 75 76 82 95 100 114 123 150 164 190 205 228 246 285 300 380 410 475 492 570 615 779 820 950 1025 1140 1230 1425 1558 1900 2050 2337 2460 2850 3075 3116 3895 4100 4674 5700 6150 7790 9348 11685 12300 15580 19475 23370 38950 46740 58425 77900 116850 233700 18956963 37913926 56870889 75827852 94784815 113741778 189569630 227483556 284354445 360182297 379139260 473924075 568708890 720364594 777235483 947848150 1080546891 1137417780 1421772225 1440729188 1554470966 1800911485 1895696300 2161093782 2331706449 2843544450 3108941932 3601822970 3886177415 4322187564 4663412898 5402734455 5687088900 7203645940 7772354830 9004557425 9326825796 10805468910 11658532245 14767474177 15544709660 18009114850 19430887075 21610937820 23317064490 27013672275 29534948354 36018229700 38861774150 44302422531 46634128980 54027344550 58292661225 59069896708 73837370885 77723548300 88604845062 108054689100 116585322450 147674741770 177209690124 221512112655 233170644900 295349483540 369186854425 443024225310 738373708850 886048450620 1107560563275 1476747417700 2215121126550 4430242253100