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1234405143144 = 2332131163802909
BaseRepresentation
bin10001111101101000010…
…001111011001001101000
311101000012211001110201100
4101331220101323021220
5130211030204040034
62343024454121400
7155116465410555
oct21755021731150
94330184043640
101234405143144
11436565582398
1217b29b950260
138c5334c3a84
1443a61a29a2c
152219a417099
hex11f6847b268

1234405143144 has 96 divisors (see below), whose sum is σ = 3389372157600. Its totient is φ = 405821819520.

The previous prime is 1234405143109. The next prime is 1234405143217. The reversal of 1234405143144 is 4413415044321.

It is a happy number.

1234405143144 is a `hidden beast` number, since 1 + 2 + 34 + 40 + 514 + 31 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1234405143099 and 1234405143108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135962 + ... + 1938870.

It is an arithmetic number, because the mean of its divisors is an integer number (35305959975).

Almost surely, 21234405143144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234405143144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694686078800).

1234405143144 is an abundant number, since it is smaller than the sum of its proper divisors (2154967014456).

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

1234405143144 is a wasteful number, since it uses less digits than its factorization.

1234405143144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803215 (or 803208 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1234405143144 in words is "one trillion, two hundred thirty-four billion, four hundred five million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 163 262 326 393 489 524 652 786 978 1048 1179 1304 1467 1572 1956 2358 2934 3144 3912 4716 5868 9432 11736 21353 42706 64059 85412 128118 170824 192177 256236 384354 512472 768708 802909 1537416 1605818 2408727 3211636 4817454 6423272 7226181 9634908 14452362 19269816 28904724 57809448 105181079 130874167 210362158 261748334 315543237 392622501 420724316 523496668 631086474 785245002 841448632 946629711 1046993336 1177867503 1262172948 1570490004 1893259422 2355735006 2524345896 3140980008 3786518844 4711470012 7573037688 9422940024 17144515877 34289031754 51433547631 68578063508 102867095262 137156127016 154300642893 205734190524 308601285786 411468381048 617202571572 1234405143144