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16426240332144 = 2434720533546583
BaseRepresentation
bin1110111100001000100000…
…1110000101000101110000
32011011022222221011011100220
43233002020032011011300
54123111420011112034
654534035521413040
73313520356036536
oct357021016050560
964138887134326
1016426240332144
115263369488785
121a1362279a180
13921cac3060b6
1440b06a096156
151d743e2ec749
hexef088385170

16426240332144 has 80 divisors (see below), whose sum is σ = 43358436406272. Its totient is φ = 5356303490304.

The previous prime is 16426240332119. The next prime is 16426240332149. The reversal of 16426240332144 is 44123304262461.

It is a junction number, because it is equal to n+sod(n) for n = 16426240332096 and 16426240332105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16426240332149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2858277 + ... + 6404859.

Almost surely, 216426240332144 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 16426240332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21679218203136).

16426240332144 is an abundant number, since it is smaller than the sum of its proper divisors (26932196074128).

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

16426240332144 is a wasteful number, since it uses less digits than its factorization.

16426240332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548694 (or 3548688 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 16426240332144 in words is "sixteen trillion, four hundred twenty-six billion, two hundred forty million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2053 2256 4106 6159 8212 12318 16424 24636 32848 49272 96491 98544 192982 289473 385964 578946 771928 1157892 1543856 2315784 3546583 4631568 7093166 10639749 14186332 21279498 28372664 42558996 56745328 85117992 166689401 170235984 333378802 500068203 666757604 1000136406 1333515208 2000272812 2667030416 4000545624 7281134899 8001091248 14562269798 21843404697 29124539596 43686809394 58249079192 87373618788 116498158384 174747237576 342213340253 349494475152 684426680506 1026640020759 1368853361012 2053280041518 2737706722024 4106560083036 5475413444048 8213120166072 16426240332144