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141493034844 = 22337244516007
BaseRepresentation
bin1000001111000110100…
…1000101111101011100
3111112012220002220112000
42003301221011331130
54304234204103334
6145000114442300
713136220644400
oct2036151057534
9445186086460
10141493034844
1155009147337
1223509893390
131045bcb5b75
146bc3a3b100
153a31d42299
hex20f1a45f5c

141493034844 has 144 divisors (see below), whose sum is σ = 426891951360. Its totient is φ = 40410770400.

The previous prime is 141493034821. The next prime is 141493034867. The reversal of 141493034844 is 448430394141.

141493034844 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141493034821) and next prime (141493034867).

It is a self number, because there is not a number n which added to its sum of digits gives 141493034844.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23551689 + ... + 23557695.

It is an arithmetic number, because the mean of its divisors is an integer number (2964527440).

Almost surely, 2141493034844 is an apocalyptic number.

141493034844 is a gapful number since it is divisible by the number (14) 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 141493034844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213445975680).

141493034844 is an abundant number, since it is smaller than the sum of its proper divisors (285398916516).

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

141493034844 is a wasteful number, since it uses less digits than its factorization.

141493034844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 141493034844 in words is "one hundred forty-one billion, four hundred ninety-three million, thirty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 4451 5292 6007 8902 12014 13353 17804 18021 24028 26706 31157 36042 40059 42049 53412 54063 62314 72084 80118 84098 93471 108126 120177 124628 126147 160236 162189 168196 186942 216252 218099 240354 252294 280413 294343 324378 373884 378441 436198 480708 504588 560826 588686 648756 654297 756882 841239 872396 883029 1121652 1135323 1177372 1308594 1513764 1682478 1766058 1962891 2270646 2617188 2649087 3364956 3532116 3925782 4541292 5298174 5888673 7851564 7947261 10596348 11777346 15894522 23554692 26737157 31789044 53474314 80211471 106948628 160422942 187160099 240634413 320845884 374320198 481268826 561480297 721903239 748640396 962537652 1122960594 1310120693 1443806478 1684440891 2245921188 2620241386 2887612956 3368881782 3930362079 5053322673 5240482772 6737763564 7860724158 10106645346 11791086237 15721448316 20213290692 23582172474 35373258711 47164344948 70746517422 141493034844