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4187040089440 = 255132387521741
BaseRepresentation
bin111100111011011111000…
…010011000010101100000
3112211021111000121201100011
4330323133002120111200
51022100024230330230
612523255532134304
7611334520352245
oct74733702302540
915737430551304
104187040089440
111374793a7a18a
12577587307394
13244ab4141380
1410692212d5cc
1573dab79ae2a
hex3cedf098560

4187040089440 has 96 divisors (see below), whose sum is σ = 11115961407936. Its totient is φ = 1478767319040.

The previous prime is 4187040089411. The next prime is 4187040089473. The reversal of 4187040089440 is 449800407814.

4187040089440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 43713031 + ... + 43808710.

It is an arithmetic number, because the mean of its divisors is an integer number (115791264666).

Almost surely, 24187040089440 is an apocalyptic number.

4187040089440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4187040089440 is an abundant number, since it is smaller than the sum of its proper divisors (6928921318496).

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

4187040089440 is a wasteful number, since it uses less digits than its factorization.

4187040089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87521792 (or 87521784 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 4187040089440 in words is "four trillion, one hundred eighty-seven billion, forty million, eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3680 4784 5980 9568 11960 23920 47840 87521741 175043482 350086964 437608705 700173928 875217410 1137782633 1400347856 1750434820 2013000043 2275565266 2800695712 3500869640 4026000086 4551130532 5688913165 7001739280 8052000172 9102261064 10065000215 11377826330 14003478560 16104000344 18204522128 20130000430 22755652660 26169000559 32208000688 36409044256 40260000860 45511305320 52338001118 64416001376 80520001720 91022610640 104676002236 130845002795 161040003440 182045221280 209352004472 261690005590 322080006880 418704008944 523380011180 837408017888 1046760022360 2093520044720 4187040089440