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4350231021344 = 25131732128493
BaseRepresentation
bin111111010011011101111…
…110011000011100100000
3120101212201002011000000012
4333103131332120130200
51032233233120140334
613130245112144052
7626202531400025
oct77233576303440
916355632130005
104350231021344
111427a1700174a
125a312b698028
132572c04c3180
141107a374b54c
157825d4449ce
hex3f4ddf98720

4350231021344 has 96 divisors (see below), whose sum is σ = 9799671515760. Its totient is φ = 1889692225536.

The previous prime is 4350231021317. The next prime is 4350231021349. The reversal of 4350231021344 is 4431201320534.

It can be written as a sum of positive squares in 8 ways, for example, as 841277852944 + 3508953168400 = 917212^2 + 1873220^2 .

It is a super-2 number, since 2×43502310213442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4350231021344.

It is not an unprimeable number, because it can be changed into a prime (4350231021349) 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, 979562 + ... + 3108054.

Almost surely, 24350231021344 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 4350231021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899835757880).

4350231021344 is an abundant number, since it is smaller than the sum of its proper divisors (5449440494416).

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

4350231021344 is a wasteful number, since it uses less digits than its factorization.

4350231021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128567 (or 2128525 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 4350231021344 its reverse (4431201320534), we get a palindrome (8781432341878).

The spelling of 4350231021344 in words is "four trillion, three hundred fifty billion, two hundred thirty-one million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 442 544 578 884 1156 1768 2312 3536 3757 4624 4913 7072 7514 9248 9826 15028 19652 30056 39304 60112 63869 78608 120224 127738 157216 255476 510952 1021904 2043808 2128493 4256986 8513972 17027944 27670409 34055888 36184381 55340818 68111776 72368762 110681636 144737524 221363272 289475048 442726544 470396953 578950096 615134477 885453088 940793906 1157900192 1230268954 1881587812 2460537908 3763175624 4921075816 7526351248 7996748201 9842151632 10457286109 15052702496 15993496402 19684303264 20914572218 31986992804 41829144436 63973985608 83658288872 127947971216 135944719417 167316577744 255895942432 271889438834 334633155488 543778877668 1087557755336 2175115510672 4350231021344