Search a number
-
+
40053112176 = 243711389561
BaseRepresentation
bin100101010011010110…
…011111110101110000
310211101100222220201010
4211103112133311300
51124012044042201
630222233110520
72615360556540
oct452326376560
9124340886633
1040053112176
1115a93a35000
127919858440
133a1408a39c
141d1d675320
1510964c8bd6
hex95359fd70

40053112176 has 160 divisors (see below), whose sum is σ = 130069817856. Its totient is φ = 10403289600.

The previous prime is 40053112163. The next prime is 40053112199. The reversal of 40053112176 is 67121135004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402436 + ... + 491996.

Almost surely, 240053112176 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 40053112176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65034908928).

40053112176 is an abundant number, since it is smaller than the sum of its proper divisors (90016705680).

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

40053112176 is a wasteful number, since it uses less digits than its factorization.

40053112176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89612 (or 89584 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 40053112176 in words is "forty billion, fifty-three million, one hundred twelve thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1331 1452 1694 1848 1936 2541 2662 2904 3388 3696 3993 5082 5324 5808 6776 7986 9317 10164 10648 13552 15972 18634 20328 21296 27951 31944 37268 40656 55902 63888 74536 89561 111804 149072 179122 223608 268683 358244 447216 537366 626927 716488 985171 1074732 1253854 1432976 1880781 1970342 2149464 2507708 2955513 3761562 3940684 4298928 5015416 5911026 6896197 7523124 7881368 10030832 10836881 11822052 13792394 15046248 15762736 20688591 21673762 23644104 27584788 30092496 32510643 41377182 43347524 47288208 55169576 65021286 75858167 82754364 86695048 110339152 119205691 130042572 151716334 165508728 173390096 227574501 238411382 260085144 303432668 331017456 357617073 455149002 476822764 520170288 606865336 715234146 834439837 910298004 953645528 1213730672 1430468292 1668879674 1820596008 1907291056 2503319511 2860936584 3337759348 3641192016 5006639022 5721873168 6675518696 10013278044 13351037392 20026556088 40053112176