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3421415122320 = 2435138221133391
BaseRepresentation
bin110001110010011100001…
…110111010010110010000
3110010002021022011120120110
4301302130032322112100
5422024024232403240
611135435412041320
7502121566460046
oct61623416722620
913102238146513
103421415122320
1110aa017705478
12473115003240
131ba83aa8a850
14bb8512ac396
155deeb238c80
hex31c9c3ba590

3421415122320 has 160 divisors (see below), whose sum is σ = 11423737833984. Its totient is φ = 842085734400.

The previous prime is 3421415122319. The next prime is 3421415122339. The reversal of 3421415122320 is 232215141243.

It is a happy number.

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

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, 25582825 + ... + 25716215.

Almost surely, 23421415122320 is an apocalyptic number.

3421415122320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421415122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711868916992).

3421415122320 is an abundant number, since it is smaller than the sum of its proper divisors (8002322711664).

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

3421415122320 is a wasteful number, since it uses less digits than its factorization.

3421415122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141641 (or 141635 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 3421415122320 in words is "three trillion, four hundred twenty-one billion, four hundred fifteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 8221 16442 24663 32884 41105 49326 65768 82210 98652 106873 123315 131536 133391 164420 197304 213746 246630 266782 320619 328840 394608 400173 427492 493260 533564 534365 641238 657680 666955 800346 854984 986520 1067128 1068730 1282476 1333910 1600692 1603095 1709968 1734083 1973040 2000865 2134256 2137460 2564952 2667820 3201384 3206190 3468166 4001730 4274920 5129904 5202249 5335640 6402768 6412380 6936332 8003460 8549840 8670415 10404498 10671280 12824760 13872664 16006920 17340830 20808996 25649520 26011245 27745328 32013840 34681660 41617992 52022490 69363320 83235984 104044980 138726640 208089960 416179920 1096607411 2193214822 3289822233 4386429644 5483037055 6579644466 8772859288 10966074110 13159288932 14255896343 16449111165 17545718576 21932148220 26318577864 28511792686 32898222330 42767689029 43864296440 52637155728 57023585372 65796444660 71279481715 85535378058 87728592880 114047170744 131592889320 142558963430 171070756116 213838445145 228094341488 263185778640 285117926860 342141512232 427676890290 570235853720 684283024464 855353780580 1140471707440 1710707561160 3421415122320