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4434141447616 = 2619231371157251
BaseRepresentation
bin100000010000110011101…
…1011010000010111000000
3120200220021221102022101211
41000201213123100113000
51040122110202310431
613233003315535504
7635233105266226
oct100414733202700
916626257368354
104434141447616
11145a566281981
125b7448bba594
132621a381678a
141148839a0b16
157a51ed932b1
hex408676d05c0

4434141447616 has 112 divisors (see below), whose sum is σ = 9735359304960. Its totient is φ = 1994395392000.

The previous prime is 4434141447599. The next prime is 4434141447629. The reversal of 4434141447616 is 6167441414344.

It is a super-2 number, since 2×44341414476162 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4434141447616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252991 + ... + 4410241.

Almost surely, 24434141447616 is an apocalyptic number.

4434141447616 is a gapful number since it is divisible by the number (46) 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 4434141447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867679652480).

4434141447616 is an abundant number, since it is smaller than the sum of its proper divisors (5301217857344).

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

4434141447616 is a wasteful number, since it uses less digits than its factorization.

4434141447616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157442 (or 1157432 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 49.

The spelling of 4434141447616 in words is "four trillion, four hundred thirty-four billion, one hundred forty-one million, four hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 137 152 184 274 304 368 437 548 608 736 874 1096 1216 1472 1748 2192 2603 3151 3496 4384 5206 6302 6992 8768 10412 12604 13984 20824 25208 27968 41648 50416 59869 83296 100832 119738 166592 201664 239476 478952 957904 1157251 1915808 2314502 3831616 4629004 9258008 18516016 21987769 26616773 37032032 43975538 53233546 74064064 87951076 106467092 158543387 175902152 212934184 317086774 351804304 425868368 505718687 634173548 703608608 851736736 1011437374 1268347096 1407217216 1703473472 2022874748 2536694192 3012324353 3646497901 4045749496 5073388384 6024648706 7292995802 8091498992 10146776768 12049297412 14585991604 16182997984 24098594824 29171983208 32365995968 48197189648 58343966416 69283460119 96394379296 116687932832 138566920238 192788758592 233375865664 277133840476 554267680952 1108535361904 2217070723808 4434141447616