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40254053427456 = 283118815408537
BaseRepresentation
bin10010010011100011000001…
…00011100010100100000000
312021112020202012021022120120
421021301200203202210000
520234010300134134311
6221340242402540240
711323154653411161
oct1111614043424400
9167466665238516
1040254053427456
111190a714814370
124621609067680
13195cc3036352b
149d244138b768
1549c178811706
hex249c608e2900

40254053427456 has 144 divisors (see below), whose sum is σ = 117006666896448. Its totient is φ = 12184349900800.

The previous prime is 40254053427397. The next prime is 40254053427457. The reversal of 40254053427456 is 65472435045204.

It is a junction number, because it is equal to n+sod(n) for n = 40254053427399 and 40254053427408.

It is not an unprimeable number, because it can be changed into a prime (40254053427457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4738420 + ... + 10146956.

It is an arithmetic number, because the mean of its divisors is an integer number (812546297892).

Almost surely, 240254053427456 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 40254053427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58503333448224).

40254053427456 is an abundant number, since it is smaller than the sum of its proper divisors (76752613468992).

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

40254053427456 is a wasteful number, since it uses less digits than its factorization.

40254053427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409448 (or 5409434 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 51.

The spelling of 40254053427456 in words is "forty trillion, two hundred fifty-four billion, fifty-three million, four hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 881 1056 1408 1762 2112 2643 2816 3524 4224 5286 7048 8448 9691 10572 14096 19382 21144 28192 29073 38764 42288 56384 58146 77528 84576 112768 116292 155056 169152 225536 232584 310112 338304 465168 620224 676608 930336 1240448 1860672 2480896 3721344 5408537 7442688 10817074 16225611 21634148 32451222 43268296 59493907 64902444 86536592 118987814 129804888 173073184 178481721 237975628 259609776 346146368 356963442 475951256 519219552 692292736 713926884 951902512 1038439104 1384585472 1427853768 1903805024 2076878208 2855707536 3807610048 4153756416 4764921097 5711415072 7615220096 9529842194 11422830144 14294763291 15230440192 19059684388 22845660288 28589526582 38119368776 45691320576 52414132067 57179053164 76238737552 104828264134 114358106328 152477475104 157242396201 209656528268 228716212656 304954950208 314484792402 419313056536 457432425312 609909900416 628969584804 838626113072 914864850624 1219819800832 1257939169608 1677252226144 1829729701248 2515878339216 3354504452288 3659459402496 5031756678432 6709008904576 10063513356864 13418017809152 20127026713728 40254053427456