Search a number
-
+
19142092310440 = 23511101781755103
BaseRepresentation
bin1000101101000110111011…
…00111001100011110101000
32111202222002022210100021011
410112203131213030132220
510002111001112413230
6104413431130553304
74013653615001401
oct426433547143650
974688068710234
1019142092310440
116110130092070
122191a47b98834
13a8b126204cc8
144a26a728a9a8
15232de2d89e2a
hex1168dd9cc7a8

19142092310440 has 128 divisors (see below), whose sum is σ = 47457266411520. Its totient is φ = 6890835712000.

The previous prime is 19142092310381. The next prime is 19142092310441. The reversal of 19142092310440 is 4401329024191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 19142092310393 and 19142092310402.

It is not an unprimeable number, because it can be changed into a prime (19142092310441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347359929 + ... + 347415031.

It is an arithmetic number, because the mean of its divisors is an integer number (370759893840).

Almost surely, 219142092310440 is an apocalyptic number.

19142092310440 is a gapful number since it is divisible by the number (10) 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 19142092310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23728633205760).

19142092310440 is an abundant number, since it is smaller than the sum of its proper divisors (28315174101080).

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

19142092310440 is a wasteful number, since it uses less digits than its factorization.

19142092310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63043 (or 63039 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 19142092310440 in words is "nineteen trillion, one hundred forty-two billion, ninety-two million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 7817 8888 11110 15634 22220 31268 39085 44440 55103 62536 78170 85987 110206 156340 171974 220412 275515 312680 343948 429935 440824 551030 606133 687896 789517 859870 1102060 1212266 1579034 1719740 2204120 2424532 3030665 3158068 3439480 3947585 4849064 5565403 6061330 6316136 7895170 8684687 11130806 12122660 15790340 17369374 22261612 24245320 27827015 31580680 34738748 43423435 44523224 55654030 61219433 69477496 86846870 111308060 122438866 173693740 222616120 244877732 306097165 347387480 430740151 489755464 612194330 861480302 1224388660 1722960604 2153700755 2448777320 3445921208 4307401510 4738141661 8614803020 9476283322 17229606040 18952566644 23690708305 37905133288 43504755251 47381416610 87009510502 94762833220 174019021004 189525666440 217523776255 348038042008 435047552510 478552307761 870095105020 957104615522 1740190210040 1914209231044 2392761538805 3828418462088 4785523077610 9571046155220 19142092310440