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5401981440 = 29325234461
BaseRepresentation
bin1010000011111101…
…11011001000000000
3111221110210002102200
411001332323020000
542030401401230
62252011113200
7250603041012
oct50176731000
914843702380
105401981440
112322306679
121069142800
1368121502b
143936201b2
152193ac160
hex141fbb200

5401981440 has 120 divisors (see below), whose sum is σ = 18708660828. Its totient is φ = 1440522240.

The previous prime is 5401981439. The next prime is 5401981451. The reversal of 5401981440 is 441891045.

It can be written as a sum of positive squares in 2 ways, for example, as 5316159744 + 85821696 = 72912^2 + 9264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5401981395 and 5401981404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94191 + ... + 140270.

Almost surely, 25401981440 is an apocalyptic number.

It is an amenable number.

5401981440 is an abundant number, since it is smaller than the sum of its proper divisors (13306679388).

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

5401981440 is a wasteful number, since it uses less digits than its factorization.

5401981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234490 (or 234471 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5401981440 is about 73498.1730385184. The cubic root of 5401981440 is about 1754.6252006022.

The spelling of 5401981440 in words is "five billion, four hundred one million, nine hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 234461 468922 703383 937844 1172305 1406766 1875688 2110149 2344610 2813532 3516915 3751376 4220298 4689220 5627064 7033830 7502752 8440596 9378440 10550745 11254128 14067660 15005504 16881192 18756880 21101490 22508256 28135320 30011008 33762384 37513760 42202980 45016512 56270640 60022016 67524768 75027520 84405960 90033024 112541280 120044032 135049536 150055040 168811920 180066048 225082560 270099072 300110080 337623840 360132096 450165120 540198144 600220160 675247680 900330240 1080396288 1350495360 1800660480 2700990720 5401981440