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11434002054400 = 28524633858667
BaseRepresentation
bin1010011001100010111110…
…1000010111110100000000
31111111002011021002101020101
42212120233220113310000
52444313314011220100
640152412533452144
72260036141604302
oct246305750276400
944432137071211
1011434002054400
113709151092012
121347ba01a1054
1364c2b62b7cc3
142b75a14ad972
1514c65820a86a
hexa662fa17d00

11434002054400 has 108 divisors (see below), whose sum is σ = 28362074141632. Its totient is φ = 4563721451520.

The previous prime is 11434002054379. The next prime is 11434002054401. The reversal of 11434002054400 is 445020043411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434002054401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033867 + ... + 4892533.

Almost surely, 211434002054400 is an apocalyptic number.

11434002054400 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 11434002054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181037070816).

11434002054400 is an abundant number, since it is smaller than the sum of its proper divisors (16928072087232).

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

11434002054400 is an equidigital number, since it uses as much as digits as its factorization.

11434002054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859156 (or 3859137 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 11434002054400 its reverse (445020043411), we get a palindrome (11879022097811).

The spelling of 11434002054400 in words is "eleven trillion, four hundred thirty-four billion, two million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 463 640 800 926 1280 1600 1852 2315 3200 3704 4630 6400 7408 9260 11575 14816 18520 23150 29632 37040 46300 59264 74080 92600 118528 148160 185200 296320 370400 592640 740800 1481600 2963200 3858667 7717334 15434668 19293335 30869336 38586670 61738672 77173340 96466675 123477344 154346680 192933350 246954688 308693360 385866700 493909376 617386720 771733400 987818752 1234773440 1543466800 1786562821 2469546880 3086933600 3573125642 4939093760 6173867200 7146251284 8932814105 12347734400 14292502568 17865628210 24695468800 28585005136 35731256420 44664070525 57170010272 71462512840 89328141050 114340020544 142925025680 178656282100 228680041088 285850051360 357312564200 457360082176 571700102720 714625128400 1143400205440 1429250256800 2286800410880 2858500513600 5717001027200 11434002054400