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141559310536900 = 2252269244232
BaseRepresentation
bin100000001011111101011000…
…011010110101000011000100
3200120012221022202010010111121
4200023331120122311003010
5122023301431444140100
61221023241031243324
741550215452124614
oct4013753032650304
9616187282103447
10141559310536900
1141117a6a399883
1213a63186819544
1360caca7793b49
1426d5715a16a44
1511574387e851a
hex80bf586b50c4

141559310536900 has 81 divisors (see below), whose sum is σ = 308399622216231. Its totient is φ = 56400472582080.

The previous prime is 141559310536873. The next prime is 141559310536967. The reversal of 141559310536900 is 9635013955141.

It is a happy number.

The square root of 141559310536900 is 11897870.

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

141559310536900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54298004963524 + 87261305573376 = 7368718^2 + 9341376^2 .

It is a super-2 number, since 2×1415593105369002 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32005268089 + ... + 32005272511.

Almost surely, 2141559310536900 is an apocalyptic number.

141559310536900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141559310536900 is the 11897870-th square number.

It is an amenable number.

141559310536900 is an abundant number, since it is smaller than the sum of its proper divisors (166840311679331).

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

141559310536900 is an frugal number, since it uses more digits than its factorization.

141559310536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 52.

The spelling of 141559310536900 in words is "one hundred forty-one trillion, five hundred fifty-nine billion, three hundred ten million, five hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 4423 5380 6725 8846 13450 17692 22115 26900 44230 72361 88460 110575 144722 221150 289444 361805 442300 723610 1189787 1447220 1809025 2379574 3618050 4759148 5948935 7236100 11897870 19562929 23795740 29744675 39125858 59489350 78251716 97814645 118978700 195629290 320052703 391258580 489073225 640105406 978146450 1280210812 1600263515 1956292900 3200527030 5262427901 6401054060 8001317575 10524855802 16002635150 21049711604 26312139505 32005270300 52624279010 105248558020 131560697525 263121395050 526242790100 1415593105369 2831186210738 5662372421476 7077965526845 14155931053690 28311862107380 35389827634225 70779655268450 141559310536900