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349256099214924 = 223111032829730059
BaseRepresentation
bin100111101101001011000010…
…1101110101011011001001100
31200210121120001001112111121020
41033122112011232223121030
5331234202442344334144
63234450011554034140
7133364630502652506
oct11732260556533114
91623546031474536
10349256099214924
11a1313752a12360
1233208208b78950
1311cb592a414255
14623612a482d76
152a59e45256419
hex13da585bab64c

349256099214924 has 144 divisors (see below), whose sum is σ = 897868610835840. Its totient is φ = 104791537240320.

The previous prime is 349256099214917. The next prime is 349256099214943. The reversal of 349256099214924 is 429412990652943.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11619004207 + ... + 11619034265.

It is an arithmetic number, because the mean of its divisors is an integer number (6235198686360).

Almost surely, 2349256099214924 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 349256099214924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448934305417920).

349256099214924 is an abundant number, since it is smaller than the sum of its proper divisors (548612511620916).

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

349256099214924 is a wasteful number, since it uses less digits than its factorization.

349256099214924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38580 (or 38475 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 69.

The spelling of 349256099214924 in words is "three hundred forty-nine trillion, two hundred fifty-six billion, ninety-nine million, two hundred fourteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 4532 6798 8297 10609 13596 16594 21218 24891 30059 31827 33188 42436 49782 60118 63654 90177 91267 99564 116699 120236 127308 180354 182534 233398 273801 330649 350097 360708 365068 466796 547602 661298 700194 854591 991947 1095204 1322596 1400388 1709182 1983894 2563773 3096077 3418364 3967788 5127546 6192154 9288231 9400501 10255092 12384308 18576462 18801002 28201503 34056847 37152924 37602004 56403006 68113694 88022873 102170541 112806012 136227388 176045746 204341082 249399523 264068619 318895931 352091492 408682164 498799046 528137238 637791862 748198569 956687793 968251603 997598092 1056274476 1275583724 1496397138 1913375586 1936503206 2743394753 2904754809 2992794276 3507855241 3826751172 3873006412 5486789506 5809509618 7015710482 8230184259 10523565723 10973579012 11619019236 14031420964 16460368518 21047131446 25688150869 32920737036 42094262892 51376301738 77064452607 102752603476 154128905214 282569659559 308257810428 565139319118 847708978677 1130278638236 1695417957354 2645879539507 3390835914708 5291759079014 7937638618521 10583518158028 15875277237042 29104674934577 31750554474084 58209349869154 87314024803731 116418699738308 174628049607462 349256099214924