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3401331221421 = 3375917910211669
BaseRepresentation
bin110001011111101111001…
…000111010001110101101
3110001011102121202200221000
4301133233020322032231
5421211411243041141
611122314444230513
7500511105232110
oct61375710721655
913034377680830
103401331221421
1110a1550890471
1246b24ab3b439
131b8989bb8113
14ba8a7bc6577
155d722e485b6
hex317ef23a3ad

3401331221421 has 128 divisors (see below), whose sum is σ = 5898493440000. Its totient is φ = 1897002789120.

The previous prime is 3401331221389. The next prime is 3401331221423. The reversal of 3401331221421 is 1241221331043.

3401331221421 is a `hidden beast` number, since 3 + 4 + 0 + 13 + 3 + 1 + 221 + 421 = 666.

It is not a de Polignac number, because 3401331221421 - 25 = 3401331221389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401331221423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2037944775 + ... + 2037946443.

It is an arithmetic number, because the mean of its divisors is an integer number (46081980000).

Almost surely, 23401331221421 is an apocalyptic number.

It is an amenable number.

3401331221421 is a deficient number, since it is larger than the sum of its proper divisors (2497162218579).

3401331221421 is a wasteful number, since it uses less digits than its factorization.

3401331221421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3401331221421 its reverse (1241221331043), we get a palindrome (4642552552464).

The spelling of 3401331221421 in words is "three trillion, four hundred one billion, three hundred thirty-one million, two hundred twenty-one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 27 59 63 177 179 189 413 531 537 1021 1239 1253 1593 1611 1669 3063 3717 3759 4833 5007 7147 9189 10561 11151 11277 11683 15021 21441 27567 31683 33831 35049 45063 60239 64323 73927 95049 98471 105147 180717 182759 192969 221781 285147 295413 298751 315441 421673 542151 548277 665343 689297 886239 896253 1265019 1279313 1626453 1644831 1704049 1996029 2067891 2091257 2658717 2688759 3795057 3837939 4934493 5112147 6203673 6273771 8066277 10782781 11385171 11513817 11928343 15336441 17626309 18611019 18821313 32348343 34541451 35785029 46009323 52878927 56463939 75479467 97045029 100538891 107355087 123384163 158636781 226438401 291135087 301616673 305024771 322065261 370152489 475910343 679315203 703772237 904850019 915074313 1110457467 2037945609 2111316711 2135173397 2714550057 2745222939 3331372401 6333950133 6405520191 8235668817 17996461489 19001850399 19216560573 53989384467 57649681719 125975230423 161968153401 377925691269 485904460203 1133777073807 3401331221421