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1091123998434 = 2334710331113421
BaseRepresentation
bin11111110000011000000…
…11101110111011100010
310212022101022022011121000
433320030003232323202
5120334110220422214
62153131102012430
7141555032646651
oct17701403567342
93768338264530
101091123998434
1139081a062708
12157573277116
137bb7ac21b42
143ab4c72d198
151d5b1619809
hexfe0c0eeee2

1091123998434 has 128 divisors (see below), whose sum is σ = 2508578242560. Its totient is φ = 351353851200.

The previous prime is 1091123998417. The next prime is 1091123998477. The reversal of 1091123998434 is 4348993211901.

1091123998434 is a `hidden beast` number, since 1 + 0 + 9 + 112 + 3 + 9 + 98 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81293044 + ... + 81306464.

It is an arithmetic number, because the mean of its divisors is an integer number (19598267520).

Almost surely, 21091123998434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091123998434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254289121280).

1091123998434 is an abundant number, since it is smaller than the sum of its proper divisors (1417454244126).

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

1091123998434 is a wasteful number, since it uses less digits than its factorization.

1091123998434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13893 (or 13887 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1091123998434 in words is "one trillion, ninety-one billion, one hundred twenty-three million, nine hundred ninety-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 94 103 141 206 282 309 311 423 618 622 846 927 933 1269 1854 1866 2538 2781 2799 4841 5562 5598 8397 9682 13421 14523 14617 16794 26842 29046 29234 32033 40263 43569 43851 64066 80526 87138 87702 96099 120789 130707 131553 192198 241578 261414 263106 288297 362367 394659 576594 630787 724734 789318 864891 1261574 1382363 1505551 1729782 1892361 2764726 3011102 3784722 4147089 4173931 4516653 5677083 8294178 8347862 9033306 11354166 12441267 12521793 13549959 17031249 24882534 25043586 27099918 34062498 37323801 37565379 40649877 64971061 74647602 75130758 81299754 112696137 129942122 194913183 196174757 225392274 389826366 392349514 429914893 584739549 588524271 859829786 1169479098 1177048542 1289744679 1754218647 1765572813 2579489358 3508437294 3531145626 3869234037 5296718439 7738468074 10593436878 11607702111 20205999971 23215404222 40411999942 60617999913 121235999826 181853999739 363707999478 545561999217 1091123998434