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141077376 = 2734111237
BaseRepresentation
bin10000110100010…
…10101110000000
3100211110110210000
420122022232000
5242103434001
621555440000
73332065206
oct1032125600
9324413700
10141077376
11726a8580
123b2b6000
13232c684b
1414a45076
15c5baa86
hex868ab80

141077376 has 160 divisors (see below), whose sum is σ = 458381880. Its totient is φ = 42716160.

The previous prime is 141077357. The next prime is 141077381. The reversal of 141077376 is 673770141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141077376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113430 + ... + 114666.

Almost surely, 2141077376 is an apocalyptic number.

141077376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229190940).

141077376 is an abundant number, since it is smaller than the sum of its proper divisors (317304504).

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

141077376 is a wasteful number, since it uses less digits than its factorization.

141077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 141077376 is about 11877.5997575268. The cubic root of 141077376 is about 520.5779766740.

The spelling of 141077376 in words is "one hundred forty-one million, seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1237 1296 1408 1584 1728 1782 2112 2376 2474 2592 3168 3456 3564 3711 4224 4752 4948 5184 6336 7128 7422 9504 9896 10368 11133 12672 13607 14256 14844 19008 19792 22266 27214 28512 29688 33399 38016 39584 40821 44532 54428 57024 59376 66798 79168 81642 89064 100197 108856 114048 118752 122463 133596 158336 163284 178128 200394 217712 237504 244926 267192 326568 356256 367389 400788 435424 475008 489852 534384 653136 712512 734778 801576 870848 979704 1068768 1102167 1306272 1425024 1469556 1603152 1741696 1959408 2137536 2204334 2612544 2939112 3206304 3918816 4275072 4408668 5225088 5878224 6412608 7837632 8817336 11756448 12825216 15675264 17634672 23512896 35269344 47025792 70538688 141077376