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4100222421240 = 2335114766089981
BaseRepresentation
bin111011101010101000010…
…011010000100011111000
3112111222101112212012202120
4323222220103100203320
51014134223414434430
612415341032201240
7602142222351051
oct73525023204370
915458345765676
104100222421240
111340992734080
12562798239220
1323985971297a
14102647b3b728
15719c99cc610
hex3baa84d08f8

4100222421240 has 128 divisors (see below), whose sum is σ = 13704418667520. Its totient is φ = 972844505600.

The previous prime is 4100222421203. The next prime is 4100222421301. The reversal of 4100222421240 is 421242220014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4100222421240.

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, 32982951 + ... + 33107030.

It is an arithmetic number, because the mean of its divisors is an integer number (107065770840).

Almost surely, 24100222421240 is an apocalyptic number.

4100222421240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100222421240 is an abundant number, since it is smaller than the sum of its proper divisors (9604196246280).

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

4100222421240 is a wasteful number, since it uses less digits than its factorization.

4100222421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66090053 (or 66090049 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4100222421240 its reverse (421242220014), we get a palindrome (4521464641254).

The spelling of 4100222421240 in words is "four trillion, one hundred billion, two hundred twenty-two million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 62040 66089981 132179962 198269943 264359924 330449905 396539886 528719848 660899810 726989791 793079772 991349715 1321799620 1453979582 1586159544 1982699430 2180969373 2643599240 2907959164 3106229107 3634948955 3965398860 4361938746 5815918328 6212458214 7269897910 7930797720 8723877492 9318687321 10904846865 12424916428 14539795820 15531145535 17447754984 18637374642 21809693730 24849832856 29079591640 31062291070 34168520177 37274749284 43619387460 46593436605 62124582140 68337040354 74549498568 87238774920 93186873210 102505560531 124249164280 136674080708 170842600885 186373746420 205011121062 273348161416 341685201770 372747492840 410022242124 512527802655 683370403540 820044484248 1025055605310 1366740807080 2050111210620 4100222421240