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101044240044 = 2231122310728277
BaseRepresentation
bin101111000011010110…
…1001011111010101100
3100122210221120020021220
41132012231023322230
53123414311140134
6114230304423340
710204653604056
oct1360655137254
9318727506256
10101044240044
1139941926100
12176bb617b50
1396b3c69367
144c67a068d6
152965c59149
hex1786b4beac

101044240044 has 144 divisors (see below), whose sum is σ = 272956449024. Its totient is φ = 29013438080.

The previous prime is 101044240013. The next prime is 101044240057. The reversal of 101044240044 is 440042440101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101044239996 and 101044240023.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3559234 + ... + 3587510.

It is an arithmetic number, because the mean of its divisors is an integer number (1895530896).

Almost surely, 2101044240044 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 101044240044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136478224512).

101044240044 is an abundant number, since it is smaller than the sum of its proper divisors (171912208980).

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

101044240044 is a wasteful number, since it uses less digits than its factorization.

101044240044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28436 (or 28423 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 101044240044 its reverse (440042440101), we get a palindrome (541086680145).

The spelling of 101044240044 in words is "one hundred one billion, forty-four million, two hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 107 121 132 138 214 242 253 276 321 363 428 484 506 642 726 759 1012 1177 1284 1452 1518 2354 2461 2783 3036 3531 4708 4922 5566 7062 7383 8349 9844 11132 12947 14124 14766 16698 25894 27071 28277 29532 33396 38841 51788 54142 56554 77682 81213 84831 108284 113108 155364 162426 169662 297781 311047 324852 339324 595562 622094 650371 893343 933141 1191124 1244188 1300742 1786686 1866282 1951113 2601484 3025639 3421517 3573372 3732564 3902226 6051278 6843034 7154081 7804452 9076917 10264551 12102556 13686068 14308162 18153834 20529102 21462243 28616324 33282029 36307668 41058204 42924486 66564058 69589697 78694891 85848972 99846087 133128116 139179394 157389782 199692174 208769091 236084673 278358788 314779564 366102319 399384348 417538182 472169346 732204638 765486667 835076364 944338692 1098306957 1464409276 1530973334 2196613914 2296460001 3061946668 4393227828 4592920002 8420353337 9185840004 16840706674 25261060011 33681413348 50522120022 101044240044