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3534202412144 = 243137479402043
BaseRepresentation
bin110011011011011110111…
…000010001110001110000
3110111212101122100112202222
4303123132320101301300
5430401021304142034
611303331251100212
7513223554560645
oct63333670216160
913455348315688
103534202412144
111142935141698
12490b512a1668
131c8373884671
14c30b0727dcc
1561decdaa12e
hex336dee11c70

3534202412144 has 80 divisors (see below), whose sum is σ = 7274616299520. Its totient is φ = 1660401296640.

The previous prime is 3534202412093. The next prime is 3534202412177. The reversal of 3534202412144 is 4412142024353.

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, 8589587 + ... + 8991629.

It is an arithmetic number, because the mean of its divisors is an integer number (90932703744).

Almost surely, 23534202412144 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 3534202412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637308149760).

3534202412144 is an abundant number, since it is smaller than the sum of its proper divisors (3740413887376).

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

3534202412144 is a wasteful number, since it uses less digits than its factorization.

3534202412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402598 (or 402592 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 3534202412144 its reverse (4412142024353), we get a palindrome (7946344436497).

The spelling of 3534202412144 in words is "three trillion, five hundred thirty-four billion, two hundred two million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 479 496 592 958 1147 1916 2294 3832 4588 7664 9176 14849 17723 18352 29698 35446 59396 70892 118792 141784 237584 283568 402043 549413 804086 1098826 1608172 2197652 3216344 4395304 6432688 8790608 12463333 14875591 24926666 29751182 49853332 59502364 99706664 119004728 192578597 199413328 238009456 385157194 461143321 770314388 922286642 1540628776 1844573284 3081257552 3689146568 5969936507 7125408089 7378293136 11939873014 14250816178 23879746028 28501632356 47759492056 57003264712 95518984112 114006529424 220887650759 441775301518 883550603036 1767101206072 3534202412144