Search a number
-
+
71104011447132 = 223253672512215987
BaseRepresentation
bin10000001010101100110001…
…010110000010101101011100
3100022202110212210221011111100
4100022230301112002231130
533304432003412302012
6411120422032153100
720656044455061516
oct2012546126025534
9308673783834440
1071104011447132
1120724050869784
127b84525698790
13308a1058b0b21
14137b6499c2bb6
158348a272d8dc
hex40ab31582b5c

71104011447132 has 144 divisors (see below), whose sum is σ = 186600159188352. Its totient is φ = 22815791856000.

The previous prime is 71104011447113. The next prime is 71104011447137. The reversal of 71104011447132 is 23174411040117.

71104011447132 is a `hidden beast` number, since 7 + 1 + 1 + 0 + 40 + 114 + 471 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71104011447137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30978843 + ... + 33194829.

It is an arithmetic number, because the mean of its divisors is an integer number (1295834438808).

Almost surely, 271104011447132 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 71104011447132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93300079594176).

71104011447132 is an abundant number, since it is smaller than the sum of its proper divisors (115496147741220).

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

71104011447132 is a wasteful number, since it uses less digits than its factorization.

71104011447132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216368 (or 2216363 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 71104011447132 its reverse (23174411040117), we get a palindrome (94278422487249).

The spelling of 71104011447132 in words is "seventy-one trillion, one hundred four billion, eleven million, four hundred forty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 67 106 134 159 201 212 251 268 318 402 477 502 603 636 753 804 954 1004 1206 1506 1908 2259 2412 3012 3551 4518 7102 9036 10653 13303 14204 16817 21306 26606 31959 33634 39909 42612 50451 53212 63918 67268 79818 100902 119727 127836 151353 159636 201804 239454 302706 478908 605412 891301 1782602 2215987 2673903 3565204 4431974 5347806 6647961 8021709 8863948 10695612 13295922 16043418 19943883 26591844 32086836 39887766 79775532 117447311 148471129 234894622 296942258 352341933 445413387 469789244 556212737 593884516 704683866 890826774 1057025799 1112425474 1336240161 1409367732 1668638211 1781653548 2114051598 2224850948 2672480322 3337276422 4228103196 5005914633 5344960644 6674552844 7868969837 10011829266 15737939674 20023658532 23606909511 29479275061 31475879348 37266253379 47213819022 58958550122 70820728533 74532506758 88437825183 94427638044 111798760137 117917100244 141641457066 149065013516 176875650366 223597520274 265313475549 283282914132 335396280411 353751300732 447195040548 530626951098 670792560822 1061253902196 1341585121644 1975111429087 3950222858174 5925334287261 7900445716348 11850668574522 17776002861783 23701337149044 35552005723566 71104011447132