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4104214242420 = 22353114591512383
BaseRepresentation
bin111011101110010110001…
…110110110010001110100
3112112100200202011201222110
4323232112032312101310
51014220412321224140
612421241110531020
7602343153311505
oct73562616662164
915470622151873
104104214242420
111342650a41446
12563511066a70
1323a04472c736
14102905d62bac
1571b60189380
hex3bb963b6474

4104214242420 has 96 divisors (see below), whose sum is σ = 11870641520640. Its totient is φ = 1058425418880.

The previous prime is 4104214242379. The next prime is 4104214242437. The reversal of 4104214242420 is 242424124014.

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

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, 1957549 + ... + 3469931.

It is an arithmetic number, because the mean of its divisors is an integer number (123652515840).

Almost surely, 24104214242420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104214242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935320760320).

4104214242420 is an abundant number, since it is smaller than the sum of its proper divisors (7766427278220).

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

4104214242420 is a wasteful number, since it uses less digits than its factorization.

4104214242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513885 (or 1513883 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4104214242420 its reverse (242424124014), we get a palindrome (4346638366434).

The spelling of 4104214242420 in words is "four trillion, one hundred four billion, two hundred fourteen million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1459 1860 2918 4377 5836 7295 8754 14590 17508 21885 29180 43770 45229 87540 90458 135687 180916 226145 271374 452290 542748 678435 904580 1356870 1512383 2713740 3024766 4537149 6049532 7561915 9074298 15123830 18148596 22685745 30247660 45371490 46883873 90742980 93767746 140651619 187535492 234419365 281303238 468838730 562606476 703258095 937677460 1406516190 2206566797 2813032380 4413133594 6619700391 8826267188 11032833985 13239400782 22065667970 26478801564 33098501955 44131335940 66197003910 68403570707 132394007820 136807141414 205210712121 273614282828 342017853535 410421424242 684035707070 820842848484 1026053560605 1368071414140 2052107121210 4104214242420