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141408036 = 2232711139367
BaseRepresentation
bin10000110110110…
…11011100100100
3100212002021100200
420123123130210
5242200024121
622010510500
73334643220
oct1033333444
9325067320
10141408036
1172903a50
123b435430
13233b11c3
1414acd780
15c633a26
hex86db724

141408036 has 144 divisors (see below), whose sum is σ = 450078720. Its totient is φ = 36365760.

The previous prime is 141408017. The next prime is 141408041. The reversal of 141408036 is 630804141.

141408036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 385125 + ... + 385491.

Almost surely, 2141408036 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 141408036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225039360).

141408036 is an abundant number, since it is smaller than the sum of its proper divisors (308670684).

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

141408036 is a wasteful number, since it uses less digits than its factorization.

141408036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141408036 is about 11891.5110898489. The cubic root of 141408036 is about 520.9843730538.

The spelling of 141408036 in words is "one hundred forty-one million, four hundred eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 139 154 198 231 252 278 308 367 396 417 462 556 693 734 834 924 973 1101 1251 1386 1468 1529 1668 1946 2202 2502 2569 2772 2919 3058 3303 3892 4037 4404 4587 5004 5138 5838 6116 6606 7707 8074 8757 9174 10276 10703 11676 12111 13212 13761 15414 16148 17514 18348 21406 23121 24222 27522 28259 30828 32109 35028 36333 42812 46242 48444 51013 55044 56518 64218 72666 84777 92484 96327 102026 113036 128436 145332 153039 169554 192654 204052 254331 306078 339108 357091 385308 459117 508662 561143 612156 714182 918234 1017324 1071273 1122286 1428364 1683429 1836468 2142546 2244572 3213819 3366858 3928001 4285092 5050287 6427638 6733716 7856002 10100574 11784003 12855276 15712004 20201148 23568006 35352009 47136012 70704018 141408036