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141348074672 = 24723316129017
BaseRepresentation
bin1000001110100100000…
…0000111010010110000
3111111211210100011112202
42003221000013102300
54303440101342142
6144533455442332
713132510545110
oct2035100072260
9444753304482
10141348074672
1154a44337642
12234892263a8
1310437c5cc0c
146bac6a5040
153a2425b032
hex20e90074b0

141348074672 has 160 divisors (see below), whose sum is σ = 342666829824. Its totient is φ = 55153612800.

The previous prime is 141348074671. The next prime is 141348074677. The reversal of 141348074672 is 276470843141.

It is not an unprimeable number, because it can be changed into a prime (141348074671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4856708 + ... + 4885724.

Almost surely, 2141348074672 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 141348074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171333414912).

141348074672 is an abundant number, since it is smaller than the sum of its proper divisors (201318755152).

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

141348074672 is a wasteful number, since it uses less digits than its factorization.

141348074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29147 (or 29141 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 141348074672 in words is "one hundred forty-one billion, three hundred forty-eight million, seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 61 62 92 112 122 124 161 184 217 244 248 322 368 427 434 488 496 644 713 854 868 976 1288 1403 1426 1708 1736 1891 2576 2806 2852 3416 3472 3782 4991 5612 5704 6832 7564 9821 9982 11224 11408 13237 15128 19642 19964 22448 26474 29017 30256 39284 39928 43493 52948 58034 78568 79856 86986 105896 116068 157136 173972 203119 211792 232136 304451 347944 406238 464272 608902 667391 695888 812476 899527 1217804 1334782 1624952 1770037 1799054 2435608 2669564 3249904 3540074 3598108 4671737 4871216 5339128 6296689 7080148 7196216 9343474 10678256 12390259 12593378 14160296 14392432 18686948 20689121 24780518 25186756 28320592 37373896 40710851 41378242 49561036 50373512 54871147 74747792 81421702 82756484 99122072 100747024 109742294 144823847 162843404 165512968 198244144 219484588 284975957 289647694 325686808 331025936 384098029 438969176 569951914 579295388 651373616 768196058 877938352 1139903828 1158590776 1262036381 1536392116 2279807656 2317181552 2524072762 3072784232 4559615312 5048145524 6145568464 8834254667 10096291048 17668509334 20192582096 35337018668 70674037336 141348074672