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10400141243440 = 2451317588243283
BaseRepresentation
bin1001011101010111100010…
…1110010111010000110000
31100211020120201120112101201
42113111320232113100300
52330343442124242230
634041431532340544
72122246123654624
oct227257056272060
940736521515351
1010400141243440
11334a747667733
1211bb74a314754
135a5962b1ab60
1427d525d7b184
151307e8e3b5ca
hex97578b97430

10400141243440 has 80 divisors (see below), whose sum is σ = 27572139207648. Its totient is φ = 3614166724608.

The previous prime is 10400141243413. The next prime is 10400141243483. The reversal of 10400141243440 is 4434214100401.

10400141243440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10400141243399 and 10400141243408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294103962 + ... + 294139321.

Almost surely, 210400141243440 is an apocalyptic number.

10400141243440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400141243440 is an abundant number, since it is smaller than the sum of its proper divisors (17171997964208).

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

10400141243440 is a wasteful number, since it uses less digits than its factorization.

10400141243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588243326 (or 588243320 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10400141243440 its reverse (4434214100401), we get a palindrome (14834355343841).

The spelling of 10400141243440 in words is "ten trillion, four hundred billion, one hundred forty-one million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 588243283 1176486566 2352973132 2941216415 4705946264 5882432830 7647162679 9411892528 10000135811 11764865660 15294325358 20000271622 23529731320 30588650716 38235813395 40000543244 47059462640 50000679055 61177301432 76471626790 80001086488 100001358110 122354602864 130001765543 152943253580 160002172976 200002716220 260003531086 305886507160 400005432440 520007062172 611773014320 650008827715 800010864880 1040014124344 1300017655430 2080028248688 2600035310860 5200070621720 10400141243440