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4145022243120 = 2435116772319179
BaseRepresentation
bin111100010100010110100…
…101000001000100110000
3112200021000201121222001210
4330110112211001010300
51020403001143234440
612452110312000120
7605316341510463
oct74242645010460
915607021558053
104145022243120
111358991aa5360
1256b3bb690040
13240b49006705
1410489797d2da
1572c4ca78a80
hex3c516941130

4145022243120 has 160 divisors (see below), whose sum is σ = 14038423269120. Its totient is φ = 1003369169920.

The previous prime is 4145022243101. The next prime is 4145022243133. The reversal of 4145022243120 is 213422205414.

It is a happy number.

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

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, 627691 + ... + 2946869.

It is an arithmetic number, because the mean of its divisors is an integer number (87740145432).

Almost surely, 24145022243120 is an apocalyptic number.

4145022243120 is a gapful number since it is divisible by the number (40) 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 4145022243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019211634560).

4145022243120 is an abundant number, since it is smaller than the sum of its proper divisors (9893401026000).

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

4145022243120 is a wasteful number, since it uses less digits than its factorization.

4145022243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319883 (or 2319877 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4145022243120 its reverse (213422205414), we get a palindrome (4358444448534).

The spelling of 4145022243120 in words is "four trillion, one hundred forty-five billion, twenty-two million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 677 880 1320 1354 2031 2640 2708 3385 4062 5416 6770 7447 8124 10155 10832 13540 14894 16248 20310 22341 27080 29788 32496 37235 40620 44682 54160 59576 74470 81240 89364 111705 119152 148940 162480 178728 223410 297880 357456 446820 595760 893640 1787280 2319179 4638358 6957537 9276716 11595895 13915074 18553432 23191790 25510969 27830148 34787685 37106864 46383580 51021938 55660296 69575370 76532907 92767160 102043876 111320592 127554845 139150740 153065814 185534320 204087752 255109690 278301480 306131628 382664535 408175504 510219380 556602960 612263256 765329070 1020438760 1224526512 1530658140 1570084183 2040877520 3061316280 3140168366 4710252549 6122632560 6280336732 7850420915 9420505098 12560673464 15700841830 17270926013 18841010196 23551262745 25121346928 31401683660 34541852026 37682020392 47102525490 51812778039 62803367320 69083704052 75364040784 86354630065 94205050980 103625556078 125606734640 138167408104 172709260130 188410101960 207251112156 259063890195 276334816208 345418520260 376820203920 414502224312 518127780390 690837040520 829004448624 1036255560780 1381674081040 2072511121560 4145022243120