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126201141504 = 283424672
BaseRepresentation
bin111010110001000101…
…1001001100100000000
3110001202011201020110000
41311202023021210000
54031424443012004
6133550452240000
712055245001104
oct1654213114400
9401664636400
10126201141504
1149581288559
1220560610000
13bb92b49b79
146172b53904
1534395c0c39
hex1d622c9900

126201141504 has 135 divisors (see below), whose sum is σ = 376461567867. Its totient is φ = 42049995264.

The previous prime is 126201141439. The next prime is 126201141533. The reversal of 126201141504 is 405141102621.

The square root of 126201141504 is 355248.

It is a perfect power (a square), and thus also a powerful number.

126201141504 is a `hidden beast` number, since 1 + 26 + 20 + 114 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 51154479 + ... + 51156945.

Almost surely, 2126201141504 is an apocalyptic number.

126201141504 is the 355248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126201141504

126201141504 is an abundant number, since it is smaller than the sum of its proper divisors (250260426363).

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

126201141504 is an frugal number, since it uses more digits than its factorization.

126201141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 126201141504 in words is "one hundred twenty-six billion, two hundred one million, one hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2467 2592 3456 4934 5184 6912 7401 9868 10368 14802 19736 20736 22203 29604 39472 44406 59208 66609 78944 88812 118416 133218 157888 177624 199827 236832 266436 315776 355248 399654 473664 532872 631552 710496 799308 947328 1065744 1420992 1598616 1894656 2131488 2841984 3197232 4262976 5683968 6086089 6394464 8525952 12172178 12788928 17051904 18258267 24344356 25577856 36516534 48688712 51155712 54774801 73033068 97377424 109549602 146066136 164324403 194754848 219099204 292132272 328648806 389509696 438198408 492973209 584264544 657297612 779019392 876396816 985946418 1168529088 1314595224 1558038784 1752793632 1971892836 2337058176 2629190448 3505587264 3943785672 4674116352 5258380896 7011174528 7887571344 10516761792 14022349056 15775142688 21033523584 31550285376 42067047168 63100570752 126201141504