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1440076446972 = 2232263373409997
BaseRepresentation
bin10100111101001011001…
…111101011110011111100
312002200002101220020111200
4110331023033223303330
5142043234032300342
63021321220015500
7206020302555222
oct24751317536374
95080071806450
101440076446972
11505807680049
121b311a831590
13a5a4c774517
144d9b2dd6b12
15276d66e794c
hex14f4b3ebcfc

1440076446972 has 144 divisors (see below), whose sum is σ = 3676472479680. Its totient is φ = 475275009024.

The previous prime is 1440076446967. The next prime is 1440076446973. The reversal of 1440076446972 is 2796446700441.

It is a happy number.

1440076446972 is a `hidden beast` number, since 1 + 4 + 40 + 0 + 76 + 4 + 469 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440076446973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1444409178 + ... + 1444410174.

Almost surely, 21440076446972 is an apocalyptic number.

1440076446972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1440076446972 is an abundant number, since it is smaller than the sum of its proper divisors (2236396032708).

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

1440076446972 is a wasteful number, since it uses less digits than its factorization.

1440076446972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1440076446972 in words is "one trillion, four hundred forty billion, seventy-six million, four hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 263 373 409 526 746 789 818 997 1052 1119 1227 1492 1578 1636 1994 2238 2367 2454 2991 3156 3357 3681 3988 4476 4734 4908 5982 6714 7362 8973 9468 11964 13428 14724 17946 35892 98099 107567 152557 196198 215134 262211 294297 305114 322701 371881 392396 407773 430268 457671 524422 588594 610228 645402 743762 786633 815546 882891 915342 968103 1048844 1115643 1177188 1223319 1290804 1373013 1487524 1573266 1631092 1765782 1830684 1936206 2231286 2359899 2446638 2746026 3146532 3346929 3531564 3669957 3872412 4462572 4719798 4893276 5492052 6693858 7339914 9439596 13387716 14679828 40122491 80244982 97804703 107244299 120367473 152099329 160489964 195609406 214488598 240734946 293414109 304198658 321732897 361102419 391218812 428977196 456297987 481469892 586828218 608397316 643465794 722204838 880242327 912595974 965198691 1173656436 1286931588 1368893961 1444409676 1760484654 1825191948 1930397382 2737787922 3520969308 3860794764 5475575844 40002123527 80004247054 120006370581 160008494108 240012741162 360019111743 480025482324 720038223486 1440076446972