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4432997142016 = 2937476774311
BaseRepresentation
bin100000010000010001100…
…1110000100111000000000
3120200210100012012120012221
41000200203032010320000
51040112234232021031
613232254001300424
7635162541663262
oct100404316047000
916623305176187
104432997142016
11145a029356173
125b7189934714
13262050722581
141147b5a0bb32
157a4a46a9a11
hex40823384e00

4432997142016 has 160 divisors (see below), whose sum is σ = 9429058501632. Its totient is φ = 2079177154560.

The previous prime is 4432997141987. The next prime is 4432997142019. The reversal of 4432997142016 is 6102417992344.

It is a super-2 number, since 2×44329971420162 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432997142019) 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, 59617501 + ... + 59691811.

Almost surely, 24432997142016 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 4432997142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714529250816).

4432997142016 is an abundant number, since it is smaller than the sum of its proper divisors (4996061359616).

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

4432997142016 is an equidigital number, since it uses as much as digits as its factorization.

4432997142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74480 (or 74464 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 4432997142016 in words is "four trillion, four hundred thirty-two billion, nine hundred ninety-seven million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 47 64 67 74 94 128 134 148 188 256 268 296 376 512 536 592 752 1072 1184 1504 1739 2144 2368 2479 3008 3149 3478 4288 4736 4958 6016 6298 6956 8576 9472 9916 12032 12596 13912 17152 18944 19832 24064 25192 27824 34304 39664 50384 55648 74311 79328 100768 111296 116513 148622 158656 201536 222592 233026 297244 317312 403072 445184 466052 594488 634624 806144 890368 932104 1188976 1269248 1612288 1864208 2377952 2749507 3492617 3728416 4755904 4978837 5499014 6985234 7456832 9511808 9957674 10998028 13970468 14913664 19023616 19915348 21996056 27940936 29827328 38047232 39830696 43992112 55881872 59654656 79661392 87984224 111763744 129226829 159322784 175968448 184216969 223527488 234005339 258453658 318645568 351936896 368433938 447054976 468010678 516907316 637291136 703873792 736867876 894109952 936021356 1033814632 1274582272 1407747584 1473735752 1788219904 1872042712 2067629264 2549164544 2947471504 3744085424 4135258528 5894943008 7488170848 8270517056 8658197543 11789886016 14976341696 16541034112 17316395086 23579772032 29952683392 33082068224 34632790172 47159544064 59905366784 66164136448 69265580344 94319088128 119810733568 138531160688 277062321376 554124642752 1108249285504 2216498571008 4432997142016