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4114325403520 = 27571617146749
BaseRepresentation
bin111011110111110000111…
…001110111011110000000
3112120022210102002221110121
4323313300321313132000
51014402114300403040
612430032304110024
7603151550622343
oct73676071673600
915508712087417
104114325403520
11134696a480432
12565473305314
1323ac9646a8b7
141031c4b8045a
1572052ba3c4a
hex3bdf0e77780

4114325403520 has 128 divisors (see below), whose sum is σ = 9990575640000. Its totient is φ = 1619910082560.

The previous prime is 4114325403497. The next prime is 4114325403583. The reversal of 4114325403520 is 253045234114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27963106 + ... + 28109854.

Almost surely, 24114325403520 is an apocalyptic number.

4114325403520 is a gapful number since it is divisible by the number (40) 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 4114325403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995287820000).

4114325403520 is an abundant number, since it is smaller than the sum of its proper divisors (5876250236480).

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

4114325403520 is a wasteful number, since it uses less digits than its factorization.

4114325403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147456 (or 147444 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 4114325403520 in words is "four trillion, one hundred fourteen billion, three hundred twenty-five million, four hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 284 320 355 568 617 640 710 1136 1234 1420 2272 2468 2840 3085 4544 4936 5680 6170 9088 9872 11360 12340 19744 22720 24680 39488 43807 45440 49360 78976 87614 98720 146749 175228 197440 219035 293498 350456 394880 438070 586996 700912 733745 876140 1173992 1401824 1467490 1752280 2347984 2803648 2934980 3504560 4695968 5607296 5869960 7009120 9391936 10419179 11739920 14018240 18783872 20838358 23479840 28036480 41676716 46959680 52095895 83353432 90544133 93919360 104191790 166706864 181088266 208383580 333413728 362176532 416767160 452720665 666827456 724353064 833534320 905441330 1333654912 1448706128 1667068640 1810882660 2897412256 3334137280 3621765320 5794824512 6428633443 6668274560 7243530640 11589649024 12857266886 14487061280 25714533772 28974122560 32143167215 51429067544 57948245120 64286334430 102858135088 128572668860 205716270176 257145337720 411432540352 514290675440 822865080704 1028581350880 2057162701760 4114325403520