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4055432410520 = 2351943320938671
BaseRepresentation
bin111011000000111010100…
…110111011010110011000
3112100200210001112220211122
4323000322212323112120
51012421011144114040
612343012342544412
7565665252503321
oct73007246732630
915320701486748
104055432410520
111323998964097
12555b78138108
1323556c17584a
141003d9331448
157075771d1b5
hex3b03a9bb598

4055432410520 has 128 divisors (see below), whose sum is σ = 9831659904000. Its totient is φ = 1500549442560.

The previous prime is 4055432410507. The next prime is 4055432410529. The reversal of 4055432410520 is 250142345504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055432410529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104850785 + ... + 104889455.

It is an arithmetic number, because the mean of its divisors is an integer number (76809843000).

Almost surely, 24055432410520 is an apocalyptic number.

4055432410520 is a gapful number since it is divisible by the number (40) 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 4055432410520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915829952000).

4055432410520 is an abundant number, since it is smaller than the sum of its proper divisors (5776227493480).

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

4055432410520 is a wasteful number, since it uses less digits than its factorization.

4055432410520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41953 (or 41949 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 4055432410520 in words is "four trillion, fifty-five billion, four hundred thirty-two million, four hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 3209 3268 4085 6418 6536 8170 12836 16045 16340 25672 32090 32680 38671 60971 64180 77342 121942 128360 137987 154684 193355 243884 275974 304855 309368 386710 487768 551948 609710 689935 734749 773420 1103896 1219420 1379870 1469498 1546840 1662853 2438840 2621753 2759740 2938996 3325706 3673745 5243506 5519480 5877992 6651412 7347490 8314265 10487012 13108765 13302824 14694980 16628530 20974024 26217530 29389960 31594207 33257060 52435060 63188414 66514120 104870120 124095239 126376828 157971035 248190478 252753656 315942070 496380956 620476195 631884140 992761912 1240952390 1263768280 2357809541 2481904780 4715619082 4963809560 5336095277 9431238164 10672190554 11789047705 18862476328 21344381108 23578095410 26680476385 42688762216 47156190820 53360952770 94312381640 101385810263 106721905540 202771620526 213443811080 405543241052 506929051315 811086482104 1013858102630 2027716205260 4055432410520