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16434061140 = 2235739798561
BaseRepresentation
bin11110100111000101…
…11101111101010100
31120102022120210202010
433103202331331110
5232124104424030
611314422544220
71121152133460
oct172342757524
946368523663
1016434061140
116a73665412
123227898070
13171b992143
14b1c8814a0
15662b866b0
hex3d38bdf54

16434061140 has 96 divisors (see below), whose sum is σ = 52721996544. Its totient is φ = 3746856960.

The previous prime is 16434061121. The next prime is 16434061159. The reversal of 16434061140 is 4116043461.

It is an interprime number because it is at equal distance from previous prime (16434061121) and next prime (16434061159).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16434061098 and 16434061107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117460 + ... + 216020.

It is an arithmetic number, because the mean of its divisors is an integer number (549187464).

Almost surely, 216434061140 is an apocalyptic number.

16434061140 is a gapful number since it is divisible by the number (10) 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 16434061140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26360998272).

16434061140 is an abundant number, since it is smaller than the sum of its proper divisors (36287935404).

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

16434061140 is a wasteful number, since it uses less digits than its factorization.

16434061140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98977 (or 98975 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 16434061140 in words is "sixteen billion, four hundred thirty-four million, sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 397 420 794 1191 1588 1985 2382 2779 3970 4764 5558 5955 7940 8337 11116 11910 13895 16674 23820 27790 33348 41685 55580 83370 98561 166740 197122 295683 394244 492805 591366 689927 985610 1182732 1379854 1478415 1971220 2069781 2759708 2956830 3449635 4139562 5913660 6899270 8279124 10348905 13798540 20697810 39128717 41395620 78257434 117386151 156514868 195643585 234772302 273901019 391287170 469544604 547802038 586930755 782574340 821703057 1095604076 1173861510 1369505095 1643406114 2347723020 2739010190 3286812228 4108515285 5478020380 8217030570 16434061140