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140352154204144 = 241719941913614547
BaseRepresentation
bin11111111010011001001000…
…010010110111011111110000
3200101221112102221111122111211
4133322121020102313133300
5121344012202434013034
61214300520045445504
741364052135445641
oct3772311022673760
9611845387448454
10140352154204144
11407a2018090aa3
12138a9230570894
1360411c7697a1c
14269311acb96c8
151135d35712d64
hex7fa6484b77f0

140352154204144 has 160 divisors (see below), whose sum is σ = 290342791872000. Its totient is φ = 65496754667520.

The previous prime is 140352154204123. The next prime is 140352154204349. The reversal of 140352154204144 is 441402451253041.

It is a junction number, because it is equal to n+sod(n) for n = 140352154204097 and 140352154204106.

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, 30866976879 + ... + 30866981425.

It is an arithmetic number, because the mean of its divisors is an integer number (1814642449200).

Almost surely, 2140352154204144 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 140352154204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145171395936000).

140352154204144 is an abundant number, since it is smaller than the sum of its proper divisors (149990637667856).

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

140352154204144 is a wasteful number, since it uses less digits than its factorization.

140352154204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 140352154204144 in words is "one hundred forty trillion, three hundred fifty-two billion, one hundred fifty-four million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 199 272 398 419 796 838 1361 1592 1676 2722 3184 3352 3383 4547 5444 6704 6766 7123 9094 10888 13532 14246 18188 21776 23137 27064 28492 36376 46274 54128 56984 72752 77299 83381 92548 113968 154598 166762 185096 270839 309196 333524 370192 541678 570259 618392 667048 904853 1083356 1140518 1236784 1334096 1417477 1809706 1905193 2166712 2281036 2834954 3619412 3810386 4333424 4562072 4604263 5669908 6188467 7238824 7620772 9124144 9208526 9694403 11339816 12376934 14477648 15241544 15382501 18417052 19388806 22679632 24753868 30483088 30765002 32388281 36834104 38777612 49507736 61530004 64776562 73668208 77555224 99015472 105203939 113481541 123060008 129553124 155110448 210407878 226963082 246120016 259106248 379133407 420815756 453926164 518212496 758266814 841631512 907852328 1231504933 1516533628 1683263024 1815704656 1929186197 2463009866 2592967673 3033067256 3858372394 4926019732 5185935346 6066134512 6445267919 7716744788 9852039464 10371870692 12890535838 15433489576 19704078928 20743741384 20935583861 25781071676 30866979152 41487482768 41871167722 44080450441 51562143352 83742335444 88160900882 103124286704 167484670888 176321801764 334969341776 352643603528 516000566927 705287207056 1032001133854 2064002267708 4128004535416 8256009070832 8772009637759 17544019275518 35088038551036 70176077102072 140352154204144