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141211400123040 = 25351322630032071
BaseRepresentation
bin100000000110111001010111…
…010101111011001010100000
3200111222200022021021220102220
4200012321113111323022200
5122002101421412414130
61220155342135511040
741513121064321332
oct4006712725731240
9614880267256386
10141211400123040
1140aa3466aa5525
1213a07870228480
1360a4240aa8330
1426c294d8bd452
15114d374e51410
hex806e5757b2a0

141211400123040 has 96 divisors (see below), whose sum is σ = 479032518900096. Its totient is φ = 34759729259520.

The previous prime is 141211400123023. The next prime is 141211400123047. The reversal of 141211400123040 is 40321004112141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141211400123040.

It is not an unprimeable number, because it can be changed into a prime (141211400123047) 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, 11315009796 + ... + 11315022275.

It is an arithmetic number, because the mean of its divisors is an integer number (4989922071876).

Almost surely, 2141211400123040 is an apocalyptic number.

141211400123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141211400123040 is an abundant number, since it is smaller than the sum of its proper divisors (337821118777056).

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

141211400123040 is a wasteful number, since it uses less digits than its factorization.

141211400123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22630032102 (or 22630032094 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 141211400123040 its reverse (40321004112141), we get a palindrome (181532404235181).

The spelling of 141211400123040 in words is "one hundred forty-one trillion, two hundred eleven billion, four hundred million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 22630032071 45260064142 67890096213 90520128284 113150160355 135780192426 181040256568 226300320710 271560384852 294190416923 339450481065 362080513136 452600641420 543120769704 588380833846 678900962130 724161026272 882571250769 905201282840 1086241539408 1176761667692 1357801924260 1470952084615 1765142501538 1810402565680 2172483078816 2353523335384 2715603848520 2941904169230 3530285003076 3620805131360 4412856253845 4707046670768 5431207697040 5883808338460 7060570006152 8825712507690 9414093341536 10862415394080 11767616676920 14121140012304 17651425015380 23535233353840 28242280024608 35302850030760 47070466707680 70605700061520 141211400123040