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40333552141432 = 231129167198747629
BaseRepresentation
bin10010010101110111000110…
…00011000100010001111000
312021210211221121010102102111
421022323203003010101320
520241311103322011212
6221440551132142104
711332001010341404
oct1112734303042170
9167724847112374
1040333552141432
11119403aa765880
124634ab5007934
13196758c682aa4
149d6223718104
1549e27ccb0ea7
hex24aee30c4478

40333552141432 has 128 divisors (see below), whose sum is σ = 85901352768000. Its totient is φ = 17586025551360.

The previous prime is 40333552141429. The next prime is 40333552141447. The reversal of 40333552141432 is 23414125533304.

It is a super-2 number, since 2×403335521414322 (a number of 28 digits) contains 22 as substring.

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, 846803794 + ... + 846851422.

It is an arithmetic number, because the mean of its divisors is an integer number (671104318500).

Almost surely, 240333552141432 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 40333552141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42950676384000).

40333552141432 is an abundant number, since it is smaller than the sum of its proper divisors (45567800626568).

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

40333552141432 is a wasteful number, since it uses less digits than its factorization.

40333552141432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49829 (or 49825 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 40333552141432 its reverse (23414125533304), we get a palindrome (63747677674736).

The spelling of 40333552141432 in words is "forty trillion, three hundred thirty-three billion, five hundred fifty-two million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 167 232 319 334 638 668 1276 1336 1837 1987 2552 3674 3974 4843 7348 7948 9686 14696 15896 19372 21857 38744 43714 47629 53273 57623 87428 95258 106546 115246 174856 190516 213092 230492 331829 381032 426184 460984 523919 633853 663658 1047838 1267706 1327316 1381241 2095676 2535412 2654632 2762482 3650119 4191352 5070824 5524964 7300238 7954043 9623041 11049928 14600476 15193651 15908086 19246082 29200952 30387302 31816172 38492164 60774604 63632344 76984328 87494473 94638823 105853451 121549208 174988946 189277646 211706902 230667247 349977892 378555292 423413804 461334494 699955784 757110584 846827608 922668988 1041027053 1845337976 2082054106 2537339717 2744525867 4164108212 5074679434 5489051734 8328216424 10149358868 10978103468 15804683441 20298717736 21956206936 30189784537 31609366882 60379569074 63218733764 120759138148 126437467528 173851517851 241518276296 347703035702 458335819789 695406071404 916671639578 1390812142808 1833343279156 3666686558312 5041694017679 10083388035358 20166776070716 40333552141432