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14204230040 = 23571113354751
BaseRepresentation
bin11010011101010001…
…10101100110011000
31100122220202122112002
431032220311212120
5213042240330130
610305245540132
71011664651250
oct151650654630
940586678462
1014204230040
116029a102a0
122904b74648
131454a17660
1498a67a960
15582025b45
hex34ea35998

14204230040 has 128 divisors (see below), whose sum is σ = 42910801920. Its totient is φ = 4086720000.

The previous prime is 14204230021. The next prime is 14204230069. The reversal of 14204230040 is 4003240241.

14204230040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×142042300403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14204229994 and 14204230021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137336 + ... + 217415.

It is an arithmetic number, because the mean of its divisors is an integer number (335240640).

Almost surely, 214204230040 is an apocalyptic number.

14204230040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204230040 is an abundant number, since it is smaller than the sum of its proper divisors (28706571880).

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

14204230040 is a wasteful number, since it uses less digits than its factorization.

14204230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354793 (or 354789 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14204230040 its reverse (4003240241), we get a palindrome (18207470281).

The spelling of 14204230040 in words is "fourteen billion, two hundred four million, two hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 354751 709502 1419004 1773755 2483257 2838008 3547510 3902261 4611763 4966514 7095020 7804522 9223526 9933028 12416285 14190040 15609044 18447052 19511305 19866056 23058815 24832570 27315827 31218088 32282341 36894104 39022610 46117630 49665140 50729393 54631654 64564682 78045220 92235260 99330280 101458786 109263308 129129364 136579135 156090440 161411705 184470520 202917572 218526616 253646965 258258728 273158270 322823410 355105751 405835144 507293930 546316540 645646820 710211502 1014587860 1092633080 1291293640 1420423004 1775528755 2029175720 2840846008 3551057510 7102115020 14204230040