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140434312400 = 245219143912841
BaseRepresentation
bin1000001011001010001…
…0011000110011010000
3111102111002221020100122
42002302202120303100
54300102140444100
6144303054405412
713101043650134
oct2026242306320
9442432836318
10140434312400
1154615565508
1223273200868
1310320858395
146b231a53c4
1539bde11985
hex20b2898cd0

140434312400 has 120 divisors (see below), whose sum is σ = 355425465600. Its totient is φ = 53176089600.

The previous prime is 140434312391. The next prime is 140434312411. The reversal of 140434312400 is 4213434041.

It is a self number, because there is not a number n which added to its sum of digits gives 140434312400.

It is a congruent number.

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, 10929980 + ... + 10942820.

It is an arithmetic number, because the mean of its divisors is an integer number (2961878880).

Almost surely, 2140434312400 is an apocalyptic number.

140434312400 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 140434312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177712732800).

140434312400 is an abundant number, since it is smaller than the sum of its proper divisors (214991153200).

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

140434312400 is a wasteful number, since it uses less digits than its factorization.

140434312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14317 (or 14306 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 140434312400 its reverse (4213434041), we get a palindrome (144647746441).

The spelling of 140434312400 in words is "one hundred forty billion, four hundred thirty-four million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1439 1520 1900 2878 3800 5756 7195 7600 11512 12841 14390 23024 25682 27341 28780 35975 51364 54682 57560 64205 71950 102728 109364 115120 128410 136705 143900 205456 218728 243979 256820 273410 287800 321025 437456 487958 513640 546820 575600 642050 683525 975916 1027280 1093640 1219895 1284100 1367050 1951832 2187280 2439790 2568200 2734100 3903664 4879580 5136400 5468200 6099475 9759160 10936400 12198950 18478199 19518320 24397900 36956398 48795800 73912796 92390995 97591600 147825592 184781990 295651184 351085781 369563980 461954975 702171562 739127960 923909950 1404343124 1478255920 1755428905 1847819900 2808686248 3510857810 3695639800 5617372496 7021715620 7391279600 8777144525 14043431240 17554289050 28086862480 35108578100 70217156200 140434312400