Search a number
-
+
41124020013342 = 2347215732997787
BaseRepresentation
bin10010101100110111011101…
…00110101100100100011110
312101121102021122212212220000
421112123232212230210132
520342233443110411332
6223244040342035130
711443053360364500
oct1126335646544436
9171542248785800
1041124020013342
1112115665218662
12474213b118aa6
1319c3c94858586
14a225adb0bd70
154b4ae4313b7c
hex2566ee9ac91e

41124020013342 has 120 divisors (see below), whose sum is σ = 107875642578264. Its totient is φ = 11674880669088.

The previous prime is 41124020013331. The next prime is 41124020013383. The reversal of 41124020013342 is 24331002042114.

41124020013342 is a `hidden beast` number, since 4 + 1 + 124 + 0 + 200 + 1 + 334 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15252628 + ... + 17745159.

Almost surely, 241124020013342 is an apocalyptic number.

41124020013342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

41124020013342 is an abundant number, since it is smaller than the sum of its proper divisors (66751622564922).

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

41124020013342 is a wasteful number, since it uses less digits than its factorization.

41124020013342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32997972 (or 32997956 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41124020013342 its reverse (24331002042114), we get a palindrome (65455022055456).

The spelling of 41124020013342 in words is "forty-one trillion, one hundred twenty-four billion, twenty million, thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 157 162 189 294 314 378 441 471 567 882 942 1099 1134 1323 1413 2198 2646 2826 3297 3969 4239 6594 7693 7938 8478 9891 12717 15386 19782 23079 25434 29673 46158 59346 69237 89019 138474 178038 207711 415422 623133 1246266 32997787 65995574 98993361 197986722 230984509 296980083 461969018 593960166 692953527 890940249 1385907054 1616891563 1781880498 2078860581 2672820747 3233783126 4157721162 4850674689 5180652559 5345641494 6236581743 9701349378 10361305118 12473163486 14552024067 15541957677 18709745229 29104048134 31083915354 36264567913 37419490458 43656072201 46625873031 72529135826 87312144402 93251746062 108793703739 130968216603 139877619093 217587407478 253851975391 261936433206 279755238186 326381111217 419632857279 507703950782 652762222434 761555926173 839265714558 979143333651 1523111852346 1958286667302 2284667778519 2937430000953 4569335557038 5874860001906 6854003335557 13708006671114 20562010006671 41124020013342