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140101224123330 = 23351940639672019
BaseRepresentation
bin11111110110101111011011…
…101100100100101111000010
3200101001112202012021210101000
4133312233123230210233002
5121330404301333421310
61213545340331152430
741336656640114211
oct3766573354445702
9611045665253330
10140101224123330
114070566064a318
12138686805a5716
136023647a0c772
142684d14b5b078
15112e54ae294c0
hex7f6bdbb24bc2

140101224123330 has 128 divisors (see below), whose sum is σ = 393276856320000. Its totient is φ = 35393069859264.

The previous prime is 140101224123299. The next prime is 140101224123353. The reversal of 140101224123330 is 33321422101041.

140101224123330 is a `hidden beast` number, since 1 + 4 + 0 + 101 + 224 + 1 + 2 + 3 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 140101224123294 and 140101224123303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208142061 + ... + 208814079.

It is an arithmetic number, because the mean of its divisors is an integer number (3072475440000).

Almost surely, 2140101224123330 is an apocalyptic number.

140101224123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140101224123330 is an abundant number, since it is smaller than the sum of its proper divisors (253175632196670).

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

140101224123330 is a wasteful number, since it uses less digits than its factorization.

140101224123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712693 (or 712687 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140101224123330 its reverse (33321422101041), we get a palindrome (173422646224371).

The spelling of 140101224123330 in words is "one hundred forty trillion, one hundred one billion, two hundred twenty-four million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 40639 81278 121917 203195 243834 365751 406390 609585 672019 731502 772141 1097253 1219170 1344038 1544282 1828755 2016057 2194506 2316423 3360095 3657510 3860705 4032114 4632846 5486265 6048171 6720190 6949269 7721410 10080285 10972530 11582115 12096342 12768361 13898538 18144513 20160570 20847807 23164230 25536722 30240855 34746345 36289026 38305083 41695614 60481710 63841805 69492690 76610166 90722565 104239035 114915249 127683610 181445130 191525415 208478070 229830498 344745747 383050830 574576245 689491494 1149152490 1723728735 3447457470 27310180141 54620360282 81930540423 136550900705 163861080846 245791621269 273101801410 409652702115 491583242538 518893422679 737374863807 819305404230 1037786845358 1228958106345 1474749727614 1556680268037 2457916212690 2594467113395 3113360536074 3686874319035 4670040804111 5188934226790 7373748638070 7783401340185 9340081608222 14010122412333 15566802680370 23350204020555 28020244824666 46700408041110 70050612061665 140101224123330