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141654376900 = 22526126172
BaseRepresentation
bin1000001111101101000…
…0100100000111000100
3111112122010200221012201
42003323100210013010
54310102010030100
6145024120524244
713143220223401
oct2037320440704
9445563627181
10141654376900
1155091225a83
1223553920684
131048655643a
146bdb2392a8
153a410b236a
hex20fb4241c4

141654376900 has 81 divisors (see below), whose sum is σ = 313019110677. Its totient is φ = 55642540800.

The previous prime is 141654376859. The next prime is 141654376931. The reversal of 141654376900 is 9673456141.

The square root of 141654376900 is 376370.

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

It can be written as a sum of positive squares in 13 ways, for example, as 99763749316 + 41890627584 = 315854^2 + 204672^2 .

It is a super-2 number, since 2×1416543769002 (a number of 23 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, 229585392 + ... + 229586008.

Almost surely, 2141654376900 is an apocalyptic number.

141654376900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141654376900 is the 376370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141654376900

141654376900 is an abundant number, since it is smaller than the sum of its proper divisors (171364733777).

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

141654376900 is an frugal number, since it uses more digits than its factorization.

141654376900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 141654376900 in words is "one hundred forty-one billion, six hundred fifty-four million, three hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 617 1220 1234 1525 2468 3050 3085 3721 6100 6170 7442 12340 14884 15425 18605 30850 37210 37637 61700 74420 75274 93025 150548 186050 188185 372100 376370 380689 752740 761378 940925 1522756 1881850 1903445 2295857 3763700 3806890 4591714 7613780 9183428 9517225 11479285 19034450 22958570 23222029 38068900 45917140 46444058 57396425 92888116 114792850 116110145 229585700 232220290 464440580 580550725 1161101450 1416543769 2322202900 2833087538 5666175076 7082718845 14165437690 28330875380 35413594225 70827188450 141654376900